Poly-Weibull distribution
Encyclopedia
In probability theory
and statistics
, the poly-Weibull distribution is a continuous probability distribution. The distribution is defined to be that of a random variable
defined to be the smallest of a number of statistically independent
random variables having non-identical Weibull distributions.
Probability theory
Probability theory is the branch of mathematics concerned with analysis of random phenomena. The central objects of probability theory are random variables, stochastic processes, and events: mathematical abstractions of non-deterministic events or measured quantities that may either be single...
and statistics
Statistics
Statistics is the study of the collection, organization, analysis, and interpretation of data. It deals with all aspects of this, including the planning of data collection in terms of the design of surveys and experiments....
, the poly-Weibull distribution is a continuous probability distribution. The distribution is defined to be that of a random variable
Random variable
In probability and statistics, a random variable or stochastic variable is, roughly speaking, a variable whose value results from a measurement on some type of random process. Formally, it is a function from a probability space, typically to the real numbers, which is measurable functionmeasurable...
defined to be the smallest of a number of statistically independent
Statistical independence
In probability theory, to say that two events are independent intuitively means that the occurrence of one event makes it neither more nor less probable that the other occurs...
random variables having non-identical Weibull distributions.