On Moment Generating Function of Generalized Order Statistics from Erlang-Truncated Exponential Distribution

Kulshrestha, Anamika; Khan, R. U.; Kumar, Devendra

doi:10.4236/ojs.2012.25071

Cited by 9 publications

(4 citation statements)

References 2 publications

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“…[18] introduced Erlang-Truncated exponential (ETE) and Binomial-exponential distribution by using the mixture of distributions technique. [19] derived the recurrence relations for moments of generalized order statistics using Erlang-Truncated Exponential model. [20] introduced an extension of Erlang-Truncated exponential (ETE) called it Extended Erlang-Truncated exponential distribution (EE-TED) and fitted it on uncensored rain data.…”

Section: Introductionmentioning

confidence: 99%

Half logistic-truncated exponential distribution: Characteristics and applications

Gul,

Sandhu,

Farooq

et al. 2023

PLoS ONE

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Gul and Mohsin 2021 developed a new modified form of renowned “Half logistic” distribution introduced by Balakrishnan (1991) and named it half logistic-truncated exponential distribution (HL-TEXPD). Some mathematical characteristics are studied, including hazard function, Pth percentile, moment generating function and Shannon entropy. Simulation study is performed to examine the behaviour of parameter estimates. The proposed model is fitted on three real data sets to check its efficacy. Additionally, TTT (total time on test) plot is drawn to study the failure rate of the three data sets. The results verdict that HL-TEXPD can be efficiently utilized in the field of engineering and medical sciences based on the data sets under study contrary to the classical and baseline models.

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Section: Introductionmentioning

confidence: 99%

Half logistic-truncated exponential distribution: Characteristics and applications

Gul,

Sandhu,

Farooq

et al. 2023

PLoS ONE

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“…Rao (2013) handled one-sided cumulative sum control charts. Kulshrestha et al (2013) studied the moment generating functions of generalized order statistics from ETE distribution. Kumar (2014aKumar ( , 2014b studied quotient moments based on records and relations of generalized order statistics.…”

Section: Introductionmentioning

confidence: 99%

Parameter Estimation for a K-Unit Series System Based on the Progressively Censored Erlang-Truncated Exponential Data With Binomial Removals

Çetinkaya

2021

Nicel Bilimler Dergisi

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This study deals with point and interval estimations for the scale and shape parameters of the component lifetime distribution of a k-component series system when the component lifetimes are assumed to be independently and identically Erlang-truncated exponential distributions. It is assumed that the components are exposed to progressive Type-II censoring scheme. Each failure in this censoring plan is assumed to be random and subject to the binomial distribution.Parameter estimations are obtained by using the maximum likelihood method and their approximate confidence intervals are obtained by using the bootstrap method. The simulations are performed to evaluate the performances of the theoretical outcomes.

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“…can be seen as particular cases of gos. Several authors discussed the concept of gos, for example, Hwang and Lin [6], Ahsanullah [3], Ahmad [2], Khan and Kumar [11], Khan and Khan [10], Kulshrestha et al [12]. Kamps [8] has described the importance of recurrence relations of order statistics in characterization.…”

Section: Introductionmentioning

confidence: 99%

Shannon Entropy and Characterization of Nadarajah and Haghighi Distribution Based on Generalized Order Statistics

Khan¹,

Sharma²

2018

Jour. Stat. Adv. Theory and Appl.

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In this paper, we have derived the exact expression for the Shannon entropy of Nadarajah and Haghighi (NH) distribution based on generalized order statistics. Characterization of NH distribution is discussed by using the recurrence relation based on single and product moments of generalized order statistics. And we have obtained the exact and explicit expression for single and product moment of generalized order statistics in terms of Gauss hypergeometric function and Kampé de Fériet series from NH distribution. Further, we have discussed the results of ordinary order statistics, progressive type II censoring and record values.

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On Moment Generating Function of Generalized Order Statistics from Erlang-Truncated Exponential Distribution

Cited by 9 publications

References 2 publications

Half logistic-truncated exponential distribution: Characteristics and applications

Half logistic-truncated exponential distribution: Characteristics and applications

Parameter Estimation for a K-Unit Series System Based on the Progressively Censored Erlang-Truncated Exponential Data With Binomial Removals

Shannon Entropy and Characterization of Nadarajah and Haghighi Distribution Based on Generalized Order Statistics

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