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Discipline for structuring uncertainties as coherent data models
discipline of probability management communicates and calculates uncertainties as data structures that obey both the laws of arithmetic and probability, while
Probability_management
Number measuring the chance an event occurs
Probability concerns events and numerical descriptions of how likely they are to occur. The probability of an event is a number between 0 and 1; the larger
Probability
Identification, evaluation and control of risks
followed by the minimization, monitoring, and control of the impact or probability of those risks occurring. Risks can come from various sources (i.e.,
Risk_management
Branch of mathematics concerning probability
Probability theory or probability calculus is the branch of mathematics concerned with probability. Although there are several different probability interpretations
Probability_theory
Application of probability theory
Applied probability is the application of probability theory to statistical problems and other scientific and engineering domains. Much research involving
Applied_probability
Topics referred to by the same term
as keywords Stochastic Information Packet, in probability management, a representation of the probability distribution of a variable Strongly implicit
SIP
Method of planning and managing projects
duration: one a "best guess", or 50% probability duration, and a second "safe" duration, which should have higher probability of completion (perhaps 90% or 95%
Critical chain project management
Critical_chain_project_management
Discrete probability distribution
In probability theory and statistics, the Poisson distribution (/ˈpwɑːsɒn/) is a discrete probability distribution that expresses the probability of a
Poisson_distribution
Random process independent of past history
In probability theory and statistics, a Markov chain or Markov process is a stochastic process describing a sequence of possible events in which the probability
Markov_chain
Document used as risk management tool, acting as a repository for all identified risks
The probability or likelihood of its occurrence, rated on an integer scale The Risk Score (or Risk Rating) is the product of multiplying probability and
Risk_register
Possibility of something bad happening
or "probability of unwanted events". "Uncertain events affecting objectives" This definition was adopted by the Association for Project Management (1997)
Risk
Estimated potential loss for an investment under a given set of conditions
It estimates how much a set of investments might lose (with a given probability), given normal market conditions, in a set time period such as a day
Value_at_risk
American economist and Nobel Laureate (1927–2023)
Texas-based wealth management and investment advisory firm. Markowitz advised and served on the board of ProbabilityManagement.org, a 501(c)(3) non-profit
Harry_Markowitz
Application of mathematical and statistical methods in finance
risk and portfolio management. One of the main differences is that they use different probabilities such as the risk-neutral probability (or arbitrage-pricing
Mathematical_finance
Financial term
Probability of default (PD) is a financial term describing the likelihood of a default over a particular time horizon. It provides an estimate of the
Probability_of_default
Professional asset management of securities for the benefit of investors
trading system, such as %Loss probability > %Win probability). Active management Alpha capture system Asset management company Corporate governance Discretionary
Investment_management
Radar technology that hides its activity from a detected target
A low-probability-of-intercept radar (LPIR) is a radar employing measures to avoid detection by passive radar detection equipment (such as a radar warning
Low-probability-of-intercept radar
Low-probability-of-intercept_radar
Probability distribution
In probability theory and statistics, the exponential distribution or negative exponential distribution is the probability distribution of the distance
Exponential_distribution
Risk is a function of probability of an event (a particular hazard occurring) and the consequences given the event occurs. Probability refers to the likelihood
Qualitative_risk_analysis
decisions between securities. Component-level tools use the functions of probability and impact of individual risks to make decisions between resource allocations
Risk_management_tools
Probability distribution
In probability theory and statistics, the beta distribution is a family of continuous probability distributions defined on the interval [0, 1] or (0, 1)
Beta_distribution
Collection of random variables
In probability theory and related fields a stochastic (/stəˈkæstɪk/) or random process is a mathematical object usually defined as a family of random
Stochastic_process
Concept in probability
A probability box (or p-box) is a characterization of an uncertain number consisting of both aleatoric and epistemic uncertainties that is often used
Probability_box
Open assessment is a method for making impact assessments where anyone can participate and contribute. Most open assessments have been made in Opasnet
Open_assessment
possible outcomes and their probability as a result of different inputs for the uncertain variables. Case study Project management Project manager Serious
Project_management_simulation
Model in probability theory
In probability theory, a martingale is a stochastic process in which the expected value of the next observation, given all prior observations, is equal
Martingale (probability theory)
Martingale_(probability_theory)
Probability distribution
distribution, named after the Italian polymath Vilfredo Pareto, is a probability distribution in the form of a power law that is used to describe social
Pareto_distribution
Beta distribution is a combination of probability theory and statistics, most commonly used in project management for time allocation and to analyse random
List of statistical tools used in project management
List_of_statistical_tools_used_in_project_management
Topics referred to by the same term
instantiation of a property in an object Event (probability theory), a set of outcomes to which a probability is assigned Event (relativity), a point in space
Event
Study of problem-solving in human organizations
engineering Logistics Management consulting Mathematical modeling Optimization Operational research Probability and statistics Project management Psychology Simulation
Management_science
Science of characterizing uncertainties
traditional (frequentist) probability is the most basic form. Techniques such as the Monte Carlo method are frequently used. A probability distribution can be
Uncertainty_quantification
Measures the performance of a system
service level is an event-oriented performance criterion. It measures the probability that all customer orders arriving within a given time interval will be
Service_level
Type of cognitive bias
The neglect of probability, a type of cognitive bias, is the tendency to disregard probability when making a decision under uncertainty and is one simple
Neglect_of_probability
Statistical principle about ratio of effects to causes
According to his reasoning, above a certain minimum income threshold, the probability of an individual's income increasing or decreasing by a fixed proportion
Pareto_principle
Blockage of an artery in the lungs
combination with clinical pre-test probability to rule out pulmonary embolism. A systematic review of management outcome studies". Thrombosis and Haemostasis
Pulmonary_embolism
Optimal maintenance process in industrial plants
‘active’ and ‘potential’ damage mechanisms to assess and rank failure probability and consequence. This ranking is used to optimize inspection intervals
Risk-based_inspection
Software for working with quantitative decision models
bands, probability density function (PDF), cumulative distribution function (CDF)), Analytica supports collaborative decision analysis and probability management
Analytica_(software)
{\displaystyle n\rightarrow \infty } the realized variance converges to IV in probability. Moreover, the RV also converges in distribution in the sense that: n
Realized_variance
Matrix used to describe the transitions of a Markov chain
entries is a nonnegative real number representing a probability. It is also called a probability matrix, transition matrix, substitution matrix, or Markov
Stochastic_matrix
Computer software to manage projects
control, budget management, resource allocation, collaboration software, communication, decision-making, quality management, time management and documentation
Project_management_software
Study of collection and analysis of data
probability, meanwhile statistics induces statements about a population based on a data set. Statistics serves to bridge the gap between probability and
Statistics
Danger remaining after risk reduction
seat-belts reduces the overall severity and probability of injury in an automotive accident; however, probability of injury remains when in use, that is,
Residual_risk
Mathematical method of risk analysis
Probability bounds analysis (PBA) is a collection of methods of uncertainty propagation for making qualitative and quantitative calculations in the face
Probability_bounds_analysis
Protecting economic value by managing risk exposure
create value in that it reduces the probability of financial distress. When applied to financial risk management, this implies that firm managers should
Financial_risk_management
Practical mathematics used in business
elementary arithmetic, elementary algebra, statistics and probability. For some management problems, more advanced mathematics - calculus, matrix algebra
Business_mathematics
Defunct American hedge fund
(probability theory) Probability theory St. Petersburg paradox Value at risk When Genius Failed: The Rise and Fall of Long-Term Capital Management Black
Long-Term_Capital_Management
Computer security procedure
upside?) Balance probability and impact; determine and implement measures to minimize or eliminate those threats. Security management includes the theories
Security_management
Standard concerning risk assessment
occurs identifying the probability of the risk occurring once more identifying factors that reduce the consequences or probability of the risk The ISO 31010
ISO/IEC_31010
optimized to deliver the highest probability of achieving each specified goal. It is a similar approach to asset-liability management for insurance companies and
Goal-based_investing
Statistical selection process
government survey research, probability sampling is a standard procedure. In the United States, the Office of Management and Budget's "List of Standards
Survey_sampling
Branch of applied probability theory
rational choice is a branch of probability, economics, and analytic philosophy that uses expected utility and probability to model how individuals would
Decision_theory
Risk assessment comparing the likelihood of a risk to its severity
the probability) against the category of consequence severity. This is a simple mechanism to increase visibility of risks and assist management decision
Risk_matrix
Risk assessment standard
( probability of the accident occurring ) {\displaystyle {\text{Risk}}=({\text{expected loss in case of the accident}})\times ({\text{probability of
Automotive safety integrity level
Automotive_safety_integrity_level
Measure for evaluating probabilistic forecasts
continuous probability distributions, James E. Matheson, Robert L. Winkler, (1976) Scoring Rules for Continuous Probability Distributions. Management Science
Scoring_rule
In probability theory, the tail dependence of a pair of random variables is a measure of their comovements in the tails of the distributions. The concept
Tail_dependence
administrator. A Blue queue maintains a drop/mark probability p, and drops/marks packets with probability p as they enter the queue. Whenever the queue overflows
Blue (queue management algorithm)
Blue_(queue_management_algorithm)
Engineering formula
reliability theory, probability of failure or reliability index are used. Deterioration models are instrumental to infrastructure asset management and are the
Deterioration_modeling
risk using statistical methods. These methods can be used to estimate a probability distribution for the outcome of a specific variable, or at least one
Statistical_risk
Measure in risk analysis
to achieve a given SIL, the device must meet targets for the maximum probability of dangerous failure and a minimum safe failure fraction. The concept
Safety_integrity_level
Bound on probability of a random variable being far from its mean
In probability theory, Chebyshev's inequality (also called the Bienaymé–Chebyshev inequality) provides an upper bound on the probability of deviation
Chebyshev's_inequality
P-boxes and probability bounds analysis have been used in many applications spanning many disciplines in engineering and environmental science, including:
Applications of p-boxes and probability bounds analysis
Applications_of_p-boxes_and_probability_bounds_analysis
Stability of soil or rock slopes
intervention (slope stabilization) to increase the safety factor and reduce the probability of a slope movement. A previously stable slope can be affected by a number
Slope_stability
Process forming a path from many random steps
{Z} } which starts at 0, and at each step moves +1 or −1 with equal probability. Other examples include the path traced by a molecule as it travels in
Random_walk
Uniform distribution on an interval
In probability theory and statistics, the continuous uniform distributions or rectangular distributions are a family of symmetric probability distributions
Continuous uniform distribution
Continuous_uniform_distribution
Logical modeling technique
responses through a single initiating event and lays a path for assessing probabilities of the outcomes and overall system analysis. This analysis technique
Event_tree_analysis
definition of risk management is to add a future date to the definition of a risk. Mathematically, this is expressed as a probability multiplied by an impact
Project_risk_management
Risk analysis technique
assessment and management (TAM) is the practice of determining the credibility, probability, and seriousness of a potential threat and, as in 'management', working
Threat assessment and management
Threat_assessment_and_management
Internal audit approach that prioritises areas with higher organisational risk
is being managed by the management within the defined risk appetite level. It is the risk management framework of the management and seeks at every stage
Risk-based_internal_audit
Lack of quantifiable knowledge in economics
no single best formal system of probability and belief to represent Knightian uncertainty. Economists and management scientists continue to look at practical
Knightian_uncertainty
American mathematician (born 1943)
which Probability in the Engineering and Informational Sciences. In 2013 he became a fellow of the Institute for Operations Research and the Management Sciences
Sheldon_M._Ross
Topics referred to by the same term
free dictionary. plim may be: An acronym for: "Probability limit" (plim) – see Convergence in probability "Phosphorescence Lifetime Imaging Microscopy"
Plim
Estimated recurrence time of an event
risk management. 541: 256–271. Bibcode:2016JHyd..541..256P. doi:10.1016/j.jhydrol.2016.03.036. Kumar, Rajneesh; Bhardwaj, Anil (2015). "Probability analysis
Return_period
Mathematical problem involving optimal stopping theory
stopping theory that is studied extensively in the fields of applied probability, statistics, and decision theory. It is also known as the marriage problem
Secretary_problem
In business operations, controlling the process of production of goods
Information", Probability in the Engineering and Informational Sciences, 7 (1), 85–0119. Zipkin Paul H., Foundations of Inventory Management, Boston: McGraw
Operations_management
Method for assessing risk
continuous probability scale for measuring likelihood, but also includes seven likelihood categories as part of its safety risk management policy. Example
Hazard_analysis
Data structure for approximate set membership
counting Bloom filter variant); the more items added, the larger the probability of false positives. Bloom proposed the technique for applications where
Bloom_filter
Hungarian mathematician
2015) was a Hungarian mathematician, known for his contributions to probability theory and, in particular, queueing theory. He wrote over two hundred
Lajos_Takács
Concept in probability theory
In probability theory, comonotonicity mainly refers to the perfect positive dependence between the components of a random vector, essentially saying that
Comonotonicity
Professor of operations research at MIT
Massachusetts Institute of Technology's Sloan School of Management. His research spans discrete probability, statistics and machine learning, algorithms and
David_Gamarnik
Failure analysis system used in safety engineering and reliability engineering
output probabilities related to the set operations of Boolean logic. The probability of a gate's output event depends on the input event probabilities. An
Fault_tree_analysis
Statistical distribution for dependence between random variables
In probability theory and statistics, a copula is a multivariate cumulative distribution function for which the marginal probability distribution of each
Copula_(statistics)
System for reasoning about vagueness
lack of a probability theory for jointly modelling uncertainty and vagueness. Bart Kosko claims in Fuzziness vs. Probability that probability theory is
Fuzzy_logic
New Zealand mathematician and statistician (1927–2021)
in applied probability theory and the mathematics of operational research". In 1986, the Institute for Operations Research and the Management Sciences awarded
Peter_Whittle_(mathematician)
Probability distribution
In probability theory and statistics, the geometric distribution is either one of two discrete probability distributions: The probability distribution
Geometric_distribution
Risk management technique in investing
select one portfolio rather than another based on the criterion that the probability of the portfolio's return falling below a minimum desired threshold is
Roy's_safety-first_criterion
Meeting or surpassing an intended goal or objective
their success.[citation needed] Success Management Theory Critical success factor Customer success Probability of success Propaganda of success Success
Success
Statistics concept
statistics and philosophy of probability, with different treatment of these issues being a classic issue of probability interpretations, being recognised
Common cause and special cause (statistics)
Common_cause_and_special_cause_(statistics)
Bet sizing formula for long-term growth
security. p {\displaystyle p} is the probability that the investment increases in value. q {\displaystyle q} is the probability that the investment decreases
Kelly_criterion
Technique used in the field of human reliability assessment
Absolute probability judgement is a technique used in the field of human reliability assessment (HRA), for the purposes of evaluating the probability of a
Absolute probability judgement
Absolute_probability_judgement
in the field of mathematical finance, probability theory, and statistics. He is known for his work in probability metrics, derivative pricing, financial
Svetlozar_Rachev
American inventor of algorithmic probability and artificial intelligence researcher
December 7, 2009) was an American mathematician who invented algorithmic probability, his General Theory of Inductive Inference (also known as Universal Inductive
Ray_Solomonoff
Professional credential offered by the CFA Institute
statistics, probability theory, fixed income, derivatives, economics, financial analysis, corporate finance, alternative investments, portfolio management, ethics
Chartered_Financial_Analyst
Overview of and topical guide to business management
processes. Reverse engineering – Risk – is the precise probability of specific eventualities. Senior management – Shareholder value – Strategic sustainable investing
Outline of business management
Outline_of_business_management
27 are the same car. But the circumstantial evidence suggests a high probability of their being the same car. GPCX #101 was the only pre-1920 tank car
List of White Pass and Yukon Route locomotives and cars
List_of_White_Pass_and_Yukon_Route_locomotives_and_cars
International safety standard for automotive electrical and electronic systems
E1 Very low probability (injury could happen only in rare operating conditions) E2 Low probability E3 Medium probability E4 High probability (injury could
ISO_26262
Alive" January 15, 1961 (1961-01-15) 11 "Physics and Games – Laws of Probability" January 22, 1961 (1961-01-22) 12 "The Face of the Moon" January 29, 1961 (1961-01-29)
List of The Nature of Things episodes
List_of_The_Nature_of_Things_episodes
Risk management framework
affect each other. It is primarily concerned with establishing accurate probabilities for the frequency and magnitude of data loss events. It is not a methodology
Factor analysis of information risk
Factor_analysis_of_information_risk
Model that values credit risk using option-based default mechanics
process. By contrast, the Merton model treats bankruptcy as a continuous probability of default, where, on the random occurrence of default, the stock price
Merton_model
Theory of response to surprise events
non-computability of the probability of consequential rare events using scientific methods (owing to the very nature of small probabilities). The individual and
Black_swan_theory
Platforms for betting on events
interest, where the market price can indicate what the crowd thinks the probability of the event is. Traders with different beliefs trade on contracts whose
Prediction_market
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