Journal ArticleDOI
Explicit expressions for moments of gamma order statistics
Saralees Nadarajah,Manisha Pal +1 more
- Vol. 39, Iss: 1, pp 45-60
TLDR
In this paper, explicit closed form expressions are derived for the moments of order statistics from the gamma and generalized gamma distributions, involving the Lauricella functions of type A and type B. The usefulness of the result is illustrated through two quality control data sets.Abstract:
Explicit closed form expressions are derived for the moments of order statistics from the gamma and generalized gamma distributions. The expressions involve the Lauricella functions of type A and type B. The usefulness of the result is illustrated through two quality control data sets.read more
Citations
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The gamma-exponentiated exponential distribution
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Spectral Efficiency of Mixed-ADC Massive MIMO
TL;DR: The spectral efficiency (SE) of a mixed-analog-to-digital converter (ADC) massive multiple-input multiple-output (MIMO) system in which single-antenna users communicate with a base station equipped with 1-b ADCs is studied.
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On The Gamma-Half Normal Distribution and Its Applications
Ayman Alzaatreh,Kristen Knight +1 more
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A study of the Gamma-Pareto (IV) distribution and its applications
Ayman Alzaatreh,Indranil Ghosh +1 more
TL;DR: In this article, the Gamma-Pareto (IV) distribution was proposed to model income distributions as well as a wide variety of other social and economic distributions, such as survival analysis, to model aggregate insurance claims, and the amount of rainfall accumulated in a reservoir etc.
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Parameter estimations with gamma distribution based on progressive type- I interval censoring
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TL;DR: In this article, the maximum likelihood estimator and moment estimator for the two-parameter gamma distribution based on progressive type-I interval censored sample were derived using the EM algorithm and numerical method, respectively.
References
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Michele Nichols,W. J. Padgett +1 more
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Robustness to non-normality of the multivariate EWMA control chart
TL;DR: In this article, the effects of non-normality on the statistical performance of the multivariate exponentially moving average (MEWMA) control chart, and the Hotelling chi-squared chart in particular, are investigated when used in individual observations to monitor the me.
Journal ArticleDOI
Order Statistics from the Gamma Distribution
TL;DR: In this paper, the authors deal with order statistics from a gamma or χ2 (Pearson Type III) distribution and derive the modal value of an order statistic and a table of these values is given for the cases of the smallest and the largest order statistics.
Journal ArticleDOI
Computing the moments of order statistics from nonidentical random variables
TL;DR: In this article, the authors establish new representations, identities and recurrence relations of order statistics arising from general independent non-identically distributed random variables (r.v.’s), which enable one to compute all moments of all o.s. in a simple manner.