distribution of cumulative 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

• 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

• Exponential distribution — Not to be confused with the exponential families of probability distributions. Exponential Probability density function Cumulative distribution function para …   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

• Noncentral t-distribution — Noncentral Student s t Probability density function parameters: degrees of freedom noncentrality parameter support …   Wikipedia

• Probability distribution — This article is about probability distribution. For generalized functions in mathematical analysis, see Distribution (mathematics). For other uses, see Distribution (disambiguation). In probability theory, a probability mass, probability density …   Wikipedia

• Log-logistic distribution — Probability distribution name =Log logistic type =density pdf cdf parameters =alpha>0 scale eta> 0 shape support =xin [0,infty) pdf = frac{ (eta/alpha)(x/alpha)^{eta 1} } { left [ 1+(x/alpha)^{eta} ight] ^2 } cdf ={ 1 over 1+(x/alpha)^{ eta} …   Wikipedia

• 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

• Birnbaum-Saunders distribution — The Birnbaum Saunders distribution (also known as the fatigue life distribution) is used extensively in reliability applications to model failure times. There are several alternative formulations of this distribution in the literature.Probability …   Wikipedia

• Frequency distribution — In statistics, a frequency distribution is an arrangement of the values that one or more variables take in a sample. Each entry in the table contains the frequency or count of the occurrences of values within a particular group or interval, and… …   Wikipedia

• Binomial distribution — Probability distribution name =Binomial type =mass pdf cdf Colors match the image above parameters =n geq 0 number of trials (integer) 0leq p leq 1 success probability (real) support =k in {0,dots,n}! pdf ={nchoose k} p^k (1 p)^{n k} ! cdf =I {1… …   Wikipedia