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APPL
Statistical packages have been used for decades to analyze large datasets or to perform mathematically intractable statistical methods. These packages are not capable of working with random variablesExpand
Reliability: Probabilistic Models and Statistical Methods
TLDR
1. Coherent Systems Analysis, Nonparametric Methods and Model Adequacy, and Parametric Lifetime Models. Expand
Nonparametric Estimation of the Cumulative Intensity Function for a Nonhomogeneous Poisson Process from Overlapping Realizations
A nonparametric technique for estimating the cumulative intensity function of a nonhomogeneous Poisson process from one or more realizations on an interval is extended here to include realizationsExpand
Survival Distributions Satisfying Benford's Law
Abstract Hill stated that “An interesting open problem is to determine which common distributions (or mixtures thereof) satisfy Benford's law …”. This article quantifies compliance with Benford's lawExpand
Nonparametric estimation of the Cumulative intensity function for a nonhomogeneous Poisson process
A nonparametric technique for estimating the cumulative intensity function of a nonhomogeneous Poisson process from one or more realizations is developed. This technique does not require anyExpand
Computing the distribution of the product of two continuous random variables
TLDR
An algorithm for computing the probability density function of the product of two independent random variables, along with an implementation of the algorithm in a computer algebra system, to create an automated algorithm for convolutions of random variables. Expand
Univariate Distribution Relationships
Probability distributions are traditionally treated separately in introductory mathematical statistics textbooks. A figure is presented here that shows properties that individual distributionsExpand
The Logistic-Exponential Survival Distribution
For various parameter combinations, the logistic-exponential survival distribution belongs to four common classes of survival distributions: increasing failure rate, decreasing failure rate,Expand
Order statistics in goodness-of-fit testing
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