Searches , social queries for SAMPLE SPACE
Search references for SAMPLE SPACE. Phrases containing SAMPLE SPACE
See searches and references containing SAMPLE SPACE!
Search references for SAMPLE SPACE. Phrases containing SAMPLE SPACE
See searches and references containing SAMPLE SPACE!SAMPLE SPACE
Set of all possible outcomes or results of a statistical trial or experiment
In probability theory, the sample space (also called sample description space, possibility space, or outcome space) of an experiment or random trial is
Sample_space
Mathematical concept
model of a random process or experiment. A probability space consists of three elements: A sample space, Ω {\displaystyle \Omega } , which is the set of all
Probability_space
theoretical computer science, a small-bias sample space (also known as ϵ {\displaystyle \epsilon } -biased sample space, ϵ {\displaystyle \epsilon } -biased
Small-bias_sample_space
In statistics and probability theory, set of outcomes to which a probability is assigned
an event is a subset of outcomes of an experiment (a subset of the sample space) to which a probability is assigned. A single outcome may be an element
Event_(probability_theory)
Spacecraft mission
A sample-return mission is a spacecraft mission to collect and return samples from an extraterrestrial location to Earth for analysis. Sample-return missions
Sample-return_mission
Observed value of a random variable
defined from a sample space Ω to another measurable space called the state space. If an element in Ω is mapped to an element in state space by X, then that
Realization_(probability)
Branch of mathematics concerning probability
probability space, which assigns a measure taking values between 0 and 1, termed the probability measure, to a set of outcomes called the sample space. Any specified
Probability_theory
Possible result of an experiment or trial
the elements of a sample space. For the experiment where we flip a coin twice, the four possible outcomes that make up our sample space are (H, T), (T,
Outcome_(probability)
Foundations of probability theory
specified: The sample space, Ω {\textstyle \Omega } , which is the set whose members comprise all possible outcomes or elementary events. The space of all events
Probability_axioms
Event that contains only one outcome
event, also called an atomic event or sample point, is an event which contains only a single outcome in the sample space. Using set theory terminology, an
Elementary_event
Number measuring the chance an event occurs
results is called the sample space of the experiment, sometimes denoted as Ω {\displaystyle \Omega } . The power set of the sample space is formed by considering
Probability
Mathematical function for the probability a given outcome occurs in an experiment
description of the probabilities of events, i.e. subsets of the sample space. The sample space, often represented in notation by Ω , {\displaystyle \ \Omega
Probability_distribution
Probability of an event occurring, given that another event has already occurred
outcomes of an experiment or random trial that has a restricted or reduced sample space. The conditional probability can be found by the quotient of the probability
Conditional_probability
Variable representing a random phenomenon
mathematical function in which the domain is the set of possible outcomes in a sample space (e.g. the set { H , T } {\displaystyle \{H,T\}} (which are the possible
Random_variable
Set of events whose union covers the entire sample space
sample space. For example, events A and B are said to be collectively exhaustive if A ∪ B = S {\displaystyle A\cup B=S} where S is the sample space.
Collectively exhaustive events
Collectively_exhaustive_events
space, we should introduce the product of the probability spaces associated with the experiments of the sequence. We could introduce our sample space
Divergence-from-randomness model
Divergence-from-randomness_model
Computer graphics method
to generate a particular individual sample is a representation of the sample in a domain called primary sample space. Path tracing can be viewed as Monte
Path_tracing
Statistical sampling technique
threatening each other. In orthogonal sampling, the sample space is partitioned into equally probable subspaces. All sample points are then chosen simultaneously
Latin_hypercube_sampling
Procedure that can be infinitely repeated, with a well-defined set of outcomes
repeated and has a well-defined set of possible outcomes, known as the sample space. An experiment is said to be random if it has more than one possible
Experiment (probability theory)
Experiment_(probability_theory)
Mars mission to collect rock and dust samples
biosphere from returned Martian samples has been raised but this risk is considered to be low. As of 2026, China National Space Administration's robotic dual-launch
Mars_sample-return_mission
Description of continuous random distribution
random variable, is a function whose value at any given point in the sample space (the set of possible values taken by the random variable) can be interpreted
Probability_density_function
Probability saying
probability of 1 entails including all the sample points); however, this distinction becomes important when the sample space is an infinite set, because an infinite
Almost_surely
Opposite of a probability event
In a random experiment, the probabilities of all possible events (the sample space) must total to 1— that is, some outcome must occur on every trial. For
Complementary_event
Parts of a whole which carry only relative information
short) can be represented by a real vector with positive components. The sample space of compositional data is a simplex: S D = { x = [ x 1 , x 2 , … , x D
Compositional_data
Proposed Mars sample return mission
The NASA-ESA Mars Sample Return was a proposed Flagship-class Mars sample return (MSR) mission to collect Martian rock and soil samples in 43 small, cylindrical
NASA-ESA_Mars_Sample_Return
Variation of Buffon's needle
}{2}}.} Now, the area of the sample space is Area (sample space) = D 2 × π 2 = D π 4 . {\displaystyle {\text{Area (sample space)}}={\frac {D}{2}}\times {\frac
Buffon's_noodle
Paradox in probability theory
aforementioned assumptions, in this problem, a random family is selected. In this sample space, there are four equally probable events: Only two of these possible events
Boy_or_girl_paradox
Proposition in probability theory
{\displaystyle {\left\{A_{i}\right\}}} is a finite or countable partition of the sample space, then E [ X ] = ∑ i E [ X ∣ A i ] Pr ( A i ) . {\displaystyle \operatorname
Law_of_total_expectation
Selection of data points in statistics
often consists of physical objects, sometimes it is necessary to sample over time, space, or some combination of these dimensions. For instance, an investigation
Sampling_(statistics)
Chances of card combinations in poker
drawing the hand (Frequency) by the total number of 5-card hands (the sample space; ( 52 5 ) = 2,598,960 {\textstyle {52 \choose 5}=2{,}598{,}960} ). For
Poker_probability
Misinterpretation of statistical significance
convenient 90° rotation of attention replaces the intended sample space with an illicit sample space. These p-value misuses are thus analogous to probability's
Misuse_of_p-values
Measurement of a signal at discrete time intervals
of "samples". A sample is a value of the signal at a point in time and/or space. The original signal can be reconstructed from a sequence of samples, up
Sampling_(signal_processing)
Probability estimate
of trials. It is produced by means not of a theoretical sample space but of an empirical sample. More generally, empirical probability may be estimated
Empirical_probability
[section 2.10] gives a theorem establishing that if the sample space is closed and the parameter space is finite then the class of Bayes rules is complete
Complete_class_theorem
Attribute of machine learning models
The sample complexity of a machine learning algorithm represents the number of training-samples that it needs in order to successfully learn a target
Sample_complexity
Uniform distribution on an interval
is the probability that X>12? Conditional probability changes the sample space, so a new interval length b−a′ has to be calculated, where b=23 and
Continuous uniform distribution
Continuous_uniform_distribution
Discrete probability distribution
distribution over a K-way event; any other discrete distribution over a size-K sample space is a special case. The parameters specifying the probabilities of each
Categorical_distribution
Scientific instrument to measure magnetic properties
minimize the volume in between the sample and electromagnet to achieve a more uniform magnetic field at the sample space. The configuration of the coils
Vibrating-sample_magnetometer
NASA facility in Houston, Texas
The Lunar Sample Laboratory Facility (LSLF) is a repository and laboratory facility at NASA's Lyndon B. Johnson Space Center in Houston, Texas, opened
Lunar Sample Laboratory Facility
Lunar_Sample_Laboratory_Facility
Algebraic structure of set algebra
{\displaystyle H} ) or Tails ( T {\displaystyle T} ), of unbounded length. The sample space Ω consists of all possible infinite sequences of H {\displaystyle H}
Σ-algebra
Collection of random variables
other names, a sample function or realization. A stochastic process can be classified in different ways, for example, by its state space, its index set
Stochastic_process
Probability distribution
sample space.) Then by using a pseudorandom number generator to generate samples uniformly between 0 and 1, one can transform the calculated samples into
Binomial_distribution
Discrete-variable probability distribution
distribution is tossing a coin. Suppose that S {\displaystyle S} is the sample space of all outcomes of a single toss of a fair coin, and X {\displaystyle
Probability_mass_function
sample space The set of possible outcomes of an experiment. For example, the sample space for rolling a six-sided die is {1, 2, 3, 4, 5, 6}. sampling
Glossary of probability and statistics
Glossary_of_probability_and_statistics
Form of kernel density estimation in which the size of the kernels used is varied
either the location of the samples or the location of the test point. It is a particularly effective technique when the sample space is multi-dimensional.
Variable kernel density estimation
Variable_kernel_density_estimation
Ratio of the probability of an event happening versus not happening
Bernoulli trial, as it has exactly two outcomes. In case of a finite sample space of equally probable outcomes, this is the ratio of the number of outcomes
Odds
Inequality applying to probability spaces
{\displaystyle i=1,\dots ,n} . These such E {\displaystyle E} partition the sample space, and for each E {\displaystyle E} and every i {\displaystyle i} , E {\displaystyle
Boole's_inequality
Sufficiency theorem for reconstructing signals from samples
uniformly spaced (periodic) sampling, it establishes a sufficient condition on the sample rate that permits a discrete sequence of samples to capture
Nyquist–Shannon sampling theorem
Nyquist–Shannon_sampling_theorem
Monte Carlo algorithm
obtaining a sequence of random samples from a probability distribution from which direct sampling is difficult. New samples are added to the sequence in
Metropolis–Hastings_algorithm
When the occurrence of one event does not affect the likelihood of another
indicates that two independent events A and B have common elements in their sample space so that they are not mutually exclusive (mutually exclusive if and only
Independence (probability theory)
Independence_(probability_theory)
Application of the Metropolis–Hastings algorithm to image rendering
sampling-like mutation strategies instead of an intermediate probability distribution step. In 2002, Kelemen et al. introduced Primary Sample Space Metropolis
Metropolis_light_transport
Algorithm for anomaly detection
features selection test like Kurtosis to reduce the dimensionality of the sample space. Normal Instances Only: iForest performs well even if the training set
Isolation_forest
NASA asteroid sample return mission (2016-2023)
OSIRIS-REx was a NASA asteroid-study and sample-return mission that visited and collected samples from 101955 Bennu, a carbonaceous near-Earth asteroid
OSIRIS-REx
Japanese sample-return mission to Phobos
robotic space probe operated by Japan Aerospace Exploration Agency (JAXA) that launched in 2026, with a primary mission to bring back the first samples from
Martian_Moons_eXploration
Rocks on or from the Moon
Johnson Space Center NASA Lunar sample 15498 on display at Space Center Houston Lunar Samples Vault, at NASA's Johnson Space Center NASA Lunar sample 60015
Moon_rock
{\mathcal {X}}} be the sample space defined by the n random variables and subsequently define a sample point in the sample space as X = ( X 1 , X 2 ,
Neyman_construction
Rock dust covering the Moon
"Chang'e-6 lands on far side of the moon to collect unique lunar samples". SpaceNews. Retrieved 1 June 2024. Seger Yu [@SegerYu] (1 June 2024). "落月时刻
Lunar_regolith
Statistical concept
a probability space ( Ω , F , P ) {\displaystyle (\Omega ,{\mathcal {F}},P)} , which is in turn defined by the sample space, event space, and probability
Fair_coin
Types of numerical variables in mathematics
regression analysis, a dummy variable can be used to represent subgroups of the sample in a study (e.g. the value 0 corresponding to a constituent of the control
Continuous or discrete variable
Continuous_or_discrete_variable
Property of a model
information from a comparatively larger space. The option to select many data points over a broad sample space is the ideal condition for any analysis
Bias–variance_tradeoff
Correction for sample variance bias
of n in the formula for the sample variance and sample standard deviation, where n is the number of observations in a sample. This method corrects the bias
Bessel's_correction
Axiom of probability theory
that the probability of the entire sample space is equal to one (unity); that is, P(S)=1 where S is the sample space. Loosely speaking, it means that S
Unit_measure
Planned Chinese Mars sample return mission
Tianwen-3 (Chinese: 天问三号) is an upcoming robotic Mars sample-return mission of the China National Space Administration scheduled to launch in 2028, returning
Tianwen-3
Proposed NASA sample-return mission to a comet
CAESAR would be managed by NASA's Goddard Space Flight Center in Greenbelt, Maryland. Curation of the returned sample would take place at NASA's Astromaterials
CAESAR_(spacecraft)
Japanese space mission to asteroid Ryugu
asteroid sample-return mission operated by the Japanese state space agency JAXA. It is a successor to the Hayabusa mission, which returned asteroid samples for
Hayabusa2
Overview of and topical guide to probability
topics: measure theory) Sample spaces, σ-algebras and probability measures Probability space Sample space Standard probability space Random element Random
Outline_of_probability
American space and aeronautics agency
and Space Administration (NASA; /ˈnæsə/) is an independent agency of the U.S. federal government responsible for the United States' civil space program
NASA
Random variable with multiple component dimensions
the probability space ( Ω , F , P ) {\displaystyle (\Omega ,{\mathcal {F}},P)} , where Ω {\displaystyle \Omega } is the sample space, F {\displaystyle
Multivariate_random_variable
Data compression technique
poorly generalizing to new samples. A small tree might not capture important structural information about the sample space. However, it is hard to tell
Decision_tree_pruning
Use and preservation of extraterrestrial samples
of the Solar System body. Non-restricted samples include the Moon, asteroids, comets, solar particles and space dust. Restricted bodies include planets
Extraterrestrial sample curation
Extraterrestrial_sample_curation
Type of stochastic process
collection of micrographs filling out the sample space corresponding to the unions of multiple finite-dimensional spaces. Using techniques from pattern theory
Jump_diffusion
Launching of cremated human remains into space
(mission STS-52) carried a sample of Gene Roddenberry's cremated remains into space and returned them to Earth. The first private space burial, Celestis' Earthview
Space_burial
Set of values for a mathematical model
in a five-dimensional space. Thus the Klein quadric describes the parameters of lines in space. Sample space Configuration space Data analysis Dimensionality
Parameter_space
not all samples are mandatory in a pixel. Also, a pixel can consist of more than 3 samples (e.g. 4 samples of the RGBA color space). A sample is related
Sample_(graphics)
tri-events conditional on Ω, the vacuous event represented by the entire sample space of outcomes; thus, A becomes Ω → A. Since there are many three-valued
Conditional_event_algebra
Proposed spacecraft
Marco Polo was a proposed space mission concept studied between 2005 and 2015 that would return a sample of material to Earth from the surface of a near-Earth
Marco_Polo_(spacecraft)
Japanese probe to asteroid and sample return (2003–2010)
Fourze, a space-themed tokusatsu series. Spaceflight portal Hayabusa2 – Japanese space mission to asteroid Ryugu OSIRIS-REx – NASA asteroid sample return
Hayabusa
Soviet space probe
an uncrewed 1970 space mission, part of the Soviet Luna program. It was the first robotic probe to land on the Moon and return a sample of lunar soil to
Luna_16
Randomly determined process
activities conducted at a casino. Methods of simulation and statistical sampling generally did the opposite: using simulation to test a previously understood
Stochastic
Nonconstructive method for mathematical proofs
can also be used to guarantee the existence of a desired element in a sample space with a value that is greater than or equal to the calculated expected
Probabilistic_method
Mathematical set with some added structure
Quadratic space Quotient space (disambiguation) Riemann's Moduli space Sample space Sequence space Sierpiński space Sobolev space Standard space State space Stone
Space_(mathematics)
Proposed Japanese sample-return mission
Small-Body Sample Return (NGSR) is a proposed space mission concept by the Japan Aerospace Exploration Agency (JAXA) aimed at returning samples from a small
Next Generation Small-Body Sample Return
Next_Generation_Small-Body_Sample_Return
Monte Carlo algorithm
for sampling from a specified multivariate probability distribution when direct sampling from the joint distribution is difficult, but sampling from
Gibbs_sampling
Rock retrieved from the Moon in 1971 by Apollo 15
Great Scott is currently stored at the Lunar Sample Laboratory Facility at the Lyndon B. Johnson Space Center. Pieces of it are on display at the National
Great_Scott_(lunar_sample)
Israeli computer scientist (born 1961)
Small-bias sample space, give a general framework for combining small k-wise independent spaces with small ϵ {\displaystyle \epsilon } -biased spaces to obtain
Moni_Naor
Branch of statistics
experiments whose sample space is non-numerical, where the distribution would be a categorical distribution; experiments whose sample space is encoded by
Mathematical_statistics
NASA sample return probe
NASA sample-return probe that collected a sample of solar wind particles and returned them to Earth for analysis. It was the first NASA sample-return
Genesis_(spacecraft)
Hemisphere of the Moon that always faces away from Earth
Chang'e-6 probe arrives at spaceport for first-ever lunar far side sample mission". SpaceNews. Retrieved 10 January 2024. Jones, Andrew (6 May 2024). "China's
Far_side_of_the_Moon
Algebraic concept in measure theory, also referred to as an algebra of sets
speak of a probability space and call its underlying measurable space a sample space. The points of a sample space are called sample points and represent
Field_of_sets
Computational statistics technique
In numerical analysis and computational statistics, rejection sampling is a basic technique used to generate observations from a distribution. It is also
Rejection_sampling
Element representing a value on a grid in three dimensional space
a voxel-based video game A voxel represents a single sample, or data point, on a regularly spaced, three-dimensional grid. This data point can consist
Voxel
Last letter of the Greek alphabet
differential operator. In statistics, it is used as the symbol for the sample space, or total set of possible outcomes. In triangle geometry, Brocard points
Omega
Probability that random variable X is less than or equal to x
inverse transform sampling-method. If {Xα} is a collection of independent F-distributed random variables defined on the same sample space, then there exist
Cumulative distribution function
Cumulative_distribution_function
Statistical measure of how far values spread from their average
the variance calculated from this is called the sample variance. The variance calculated from a sample is considered an estimate of the full population
Variance
Chinese asteroid and comet exploration mission
Tianwen-2 (Chinese: 天问二号) is a Chinese asteroid sample return and comet exploration mission that launched on 28 May 2025. It is the second mission of the
Tianwen-2
Chinese lunar sample-return mission
lunar exploration mission by the China National Space Administration (CNSA) and the second CNSA lunar sample-return mission. Like its predecessors in the
Chang'e_6
Topic in mathematics
a finite-valued sample space Ω, i.e. |Ω|<∞, for the discrete-time stationary ergodic process X:={Xn} defined on the probability space (Ω,B,p). The
Asymptotic equipartition property
Asymptotic_equipartition_property
Measure that is 1 if and only if a specified element is in the set
probability it represents the almost sure outcome x {\displaystyle x} in the sample space X {\displaystyle X} . We can also say that the measure is a single atom
Dirac_measure
Theorem constraining types of hidden-variable theories
and Butterfield, (under the assumption of a universal probabilistic sample space as in non-contextual hidden-variable theories) the Kochen–Specker theorem
Kochen–Specker_theorem
NASA sample-return mission to Comet 81P/Wild 2 (1999–2011)
robotic space probe launched by NASA on 7 February 1999. Its primary mission was to collect dust samples from the coma of comet Wild 2, as well as samples of
Stardust_(spacecraft)
travel, tourism, insurance
SAMPLE SPACE
SAMPLE SPACE
SAMPLE SPACE
SAMPLE SPACE
SAMPLE SPACE
SAMPLE SPACE
SAMPLE SPACE
SAMPLE SPACE
SAMPLE SPACE
travel, tourism, insurance