Journal ArticleDOI
On Simple Estimation of the Parameters of the Weibull or Extreme-Value Distribution
TLDR
In this paper, simple, closed form approximations for maximum likelihood estimates of the parameters of the Weibull or extreme value distribution are discussed, and the exact computation of constants required to calculate the estimates is presented, and simpler approximate methods are also provided.Abstract:
Simple, closed form approximations for maximum likelihood estimates of the parameters of the Weibull or extreme-value distribution are discussed. A method for the exact computation of constants required to calculate the estimates is presented, and simpler approximate methods are also provided. Some inference procedures for the parameters are also discussed.read more
Citations
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Journal ArticleDOI
The Weibull Distribution: A New Method of Summarizing Survivorship Data
TL;DR: The shape parameter controls the rate of change of the age- specific mortality rate and, therefore, the general form of the survivorship curve.
Journal ArticleDOI
Prediction intervals - a review
TL;DR: In this article, a review of known results on prediction intervals for univariate distributions is presented, including results for parametric continuous and discrete distributions as well as those based on distribution-free methods.
Journal ArticleDOI
Confidence Interval Estimation for the Weibull and Extreme Value Distributions
TL;DR: In this paper, the authors present a review of methods of constructing confidence intervals for parameters or other characteristics of the Weibull or extreme value distribution, with emphasis on the flexibility of the method and on the computations which are necessary to use it.
Journal ArticleDOI
A Study on Weibull Distribution for Estimating the Parameters
TL;DR: In this article, the authors present some methods for estimating Weibull parameters, namely, shape parameter (k) and scale parameter (c), which are important for reliability and maintainability analysis.
References
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Book
Methods for statistical analysis of reliability and life data
TL;DR: Methods for statistical analysis of reliability and life data as discussed by the authors, Methods for statistical analyzer of reliability data, and methods for statistical analyser of life data, are presented in Table 1 : 1.
Journal ArticleDOI
The Moments of Log-Weibull Order Statistics
TL;DR: In this paper, a number of formulae expressing E(i, n) in terms of M(j), j ≤ n, are developed for order statistics of a random sample of size n.
Journal ArticleDOI
Tables for Obtaining the Best Linear Invariant Estimates of Parameters of the Weibull Distribution
TL;DR: In this article, a censored life-test situation is considered and the assumption of a Weibull distribution for failure times is made, where the estimator is best among linear estimators with expected loss invariant under translations.
Journal ArticleDOI
On the Exact Evaluation of the Variances and Covariances of Order Statistics in Samples from the Extreme-Value Distribution
TL;DR: This article developed explicit closed formulas for the covariances of order statistics in samples from the extreme value distribution which involve only tabulated functions, and used them in an investigation of the estimation of extreme-value parameters by using order statistics.
Journal ArticleDOI
Maximum-Likelihood Estimation, from Doubly Censored Samples, of the Parameters of the First Asymptotic Distribution of Extreme Values
H. Leon Harter,Albert H. Moore +1 more
TL;DR: In this article, the first and second partial derivatives with respect to the parameters are worked out and the likelihood equations are obtained by equating to zero the first partial derivatives, but an iterative procedure for solving them on an electronic computer is described.
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Simplified Statistical Procedures for the Weibull or Extreme-Value Distribution
Max Engelhardt,Lee J. Bain +1 more
Maximum-Likelihood Estimation of the Parameters of Gamma and Weibull Populations from Complete and from Censored Samples
H. Leon Harter,Albert H. Moore +1 more