Moments of Upper Record Values from Marshall-Olkin Exponential Distribution

Salah, Mukhtar M.

doi:10.18576/jsap/050206

Cited by 2 publications

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“…ese data fitted the APE distribution, see Mahdavi and Kundu [11]. We found that the MLEs of μ and λ for the complete data are (0, 0, 0, 0, 0, 0, 0, 0, 0, 40) 80 15 [6] (35, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 30) 100 20 [7] (20, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 20)…”

Section: (19)mentioning

confidence: 66%

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On Progressive Type-II Censored Samples from Alpha Power Exponential Distribution

Salah

2020

Journal of Mathematics

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In this paper the two-parameter α -power exponential distribution is studied. We study the two-parameter α -power exponential μ , λ distribution with the location parameter μ > 0 and scale parameter λ > 0 under progressive Type-II censored data with fixed shape parameter α . We estimate the maximum likelihood estimators of these unknown parameters numerically since it cannot be solved analytically. We use the approximate best linear unbiased estimators μ ∗ and λ ∗ , as an initial guesses to obtain the MLEs μ ^ and λ ^ . We estimate the interval estimation of these unknowns’ parameters. Monte Carlo simulations are performed and data examples have been provided for illustration and comparison.

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Section: (19)mentioning

confidence: 66%

“…(2) If F 1 � F 2 � • • • � F k � 0 and k � s, then no censoring happens (the complete data case). For progressive censoring and its inferences, one can refer to Balakrishnan [5], Balakrishnan et al [6], Salah [7], Salah [8], Salah [9] and Khan et al [10].…”

Section: Introductionmentioning

confidence: 99%

On Progressive Type-II Censored Samples from Alpha Power Exponential Distribution

Salah

2020

Journal of Mathematics

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“…The advantage of this approach is that it allows the complete lifetimes of at least r units to be recorded before the experiment is stopped. Several authors, such as Banerjee and Kundu [6], Balakrishnan and Shafay [7], Singh et al [8], and Salah [9][10][11], considered statistical inference under T-IIHC. Dey et al [12] studied the estimation of the generalized inverted exponential distribution under a HCS.…”

Section: Introductionmentioning

confidence: 99%

Statistical inferences for type-II hybrid censoring data from the alpha power exponential distribution

et al. 2021

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This paper describes a method for computing estimates for the location parameter μ > 0 and scale parameter λ > 0 with fixed shape parameter α of the alpha power exponential distribution (APED) under type-II hybrid censored (T-IIHC) samples. We compute the maximum likelihood estimations (MLEs) of (μ, λ) by applying the Newton-Raphson method (NRM) and expectation maximization algorithm (EMA). In addition, the estimate hazard functions and reliability are evaluated by applying the invariance property of MLEs. We calculate the Fisher information matrix (FIM) by applying the missing information rule, which is important in finding the asymptotic confidence interval. Finally, the different proposed estimation methods are compared in simulation studies. A simulation example and real data example are analyzed to illustrate our estimation methods.

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Moments of Upper Record Values from Marshall-Olkin Exponential Distribution

Cited by 2 publications

References 0 publications

On Progressive Type-II Censored Samples from Alpha Power Exponential Distribution

On Progressive Type-II Censored Samples from Alpha Power Exponential Distribution

Statistical inferences for type-II hybrid censoring data from the alpha power exponential distribution

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