exponential failure
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Failure rate — is the frequency with which an engineered system or component fails, expressed for example in failures per hour. It is often denoted by the Greek letter λ (lambda) and is important in reliability engineering. The failure rate of a system usually… … Wikipedia
Exponential distribution — Not to be confused with the exponential families of probability distributions. Exponential Probability density function Cumulative distribution function para … Wikipedia
Exponential function — The natural exponential function y = ex In mathematics, the exponential function is the function ex, where e is the number (approximately 2.718281828) such that the function ex is its own derivative … Wikipedia
exponential distribution — a skewed probability distribution with right tail extending to infinity and having the density function f(x) = λe−λx for x ≥ 0 and λ > 0. The mean is 1/λ and the variance is (1/λ)2. The mode is at zero and the … Medical dictionary
Accelerated failure time model — In the statistical area of survival analysis, an accelerated failure time model (AFT model) is a parametric model that provides an alternative to the commonly used proportional hazards models. Whereas a proportional hazards model assumes that the … Wikipedia
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Exponentiation — Exponent redirects here. For other uses, see Exponent (disambiguation). Exponentiation is a mathematical operation, written as an, involving two numbers, the base a and the exponent (or power) n. When n is a positive integer, exponentiation… … Wikipedia
Negative binomial distribution — Probability mass function The orange line represents the mean, which is equal to 10 in each of these plots; the green line shows the standard deviation. notation: parameters: r > 0 number of failures until the experiment is stopped (integer,… … Wikipedia
Weibull distribution — Probability distribution name =Weibull (2 Parameter) type =density pdf cdf parameters =lambda>0, scale (real) k>0, shape (real) support =x in [0; +infty), pdf =f(x)=egin{cases}frac{k}{lambda}left(frac{x}{lambda} ight)^{k 1}e^{ (x/lambda)^{k… … Wikipedia
Survival analysis — is a branch of statistics which deals with death in biological organisms and failure in mechanical systems. This topic is called reliability theory or reliability analysis in engineering, and duration analysis or duration modeling in economics or … Wikipedia
