Statistical inference for the generalized inverted exponential distribution based on upper record values

Dey, Sanku; Dey, Tanujit; Luckett, Daniel J.

doi:10.1016/j.matcom.2015.06.012

Cited by 48 publications

(26 citation statements)

References 19 publications

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“…Recall that in order to apply the method on β i , there must exist a pair of records r j < r l such that lr β i j < jr β i l . For β 1 = 1.5 and β 2 = 1.75, there exists no such pair of records while, for β 3 = 2, β 4 = 2.25 and β 5 = 2.5, the method can be applied and yields the following hyperparameter pairs (after rounding up to the nearest integer): (40, 20), (18,8) and (13,5) for β 3 , β 4 and β 5 respectively. For β 1 and β 2 , where the method fails, we pick the value of the closest β, that is, (40,20).…”

Section: Real Datamentioning

confidence: 99%

“…The reason for focusing on the Weibull distribution is twofold: First, the model and recently introduced variants are widely used in applications; see References [16,17]. Second, inference for its parameters using records has drawn significant attention in recent years; see References [4,5,[18][19][20][21][22][23][24].In our analysis we consider two cases: known and unknown shape parameter, while the scale parameter is always assumed unknown. According to References [25,26] and [27] (Section 14.2), in many practical problems it is not unreasonable to assume that the shape parameter is known or, at least, it is one among a small number of values.…”

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confidence: 99%

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Statistical Inference for the Weibull Distribution Based on δ-Record Data

et al. 2019

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We consider the maximum likelihood and Bayesian estimation of parameters and prediction of future records of the Weibull distribution from δ -record data, which consists of records and near-records. We discuss existence, consistency and numerical computation of estimators and predictors. The performance of the proposed methodology is assessed by Montecarlo simulations and the analysis of monthly rainfall series. Our conclusion is that inferences for the Weibull model, based on δ -record data, clearly improve inferences based solely on records. This methodology can be recommended, more so as near-records can be collected along with records, keeping essentially the same experimental design.

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Section: Real Datamentioning

confidence: 99%

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confidence: 99%

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Statistical Inference for the Weibull Distribution Based on δ-Record Data

et al. 2019

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“…It is also observed that in many situations, this distribution may provide a better fit than gamma, Weibull, and generalized exponential distributions (see Abouammoh and Alshingiti). For applications of this distribution in variety of fields, one can refer to Krishna and Kumar, Dey and Pradhan, Dey and Dey, Dube et al, Dey et al, Panahi, and Hassan et al…”

Section: Introductionmentioning

confidence: 99%

Generalized inverted exponential distribution under constant stress accelerated life test: Different estimation methods with application

Dey¹,

Nassar

2020

Quality & Reliability Eng

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Estimation of the parameters of generalized inverted exponential distribution is considered under constant stress accelerated life test. Besides the maximum likelihood method, nine different frequentist methods of estimation are used to estimate the unknown parameters. Moreover, the reliability function is estimated under use conditions based on different methods of estimation. We perform extensive simulation experiments to see the performance of the proposed estimators. As an illustration, a real data set is analyzed to demonstrate how the proposed methods may work in practice. KEYWORDSaccelerated life testing, Cramér-von-Mises estimation method, generalized inverted exponential distribution, least squares method, maximum likelihood method, percentile method, weighted least squares method 1296 He has to his credit more than 174 research papers in journals of repute. He is a reviewer and associate editors of reputed international journals. He has a good number of contributions in almost all fields of Statistics viz., distribution theory, discretization of continuous distribution, reliability theory, multi-component stress-strength reliability, survival analysis, Bayesian inference, Record Statistics, Statistical quality control, order statistics, lifetime performance index based on classical and Bayesian approach as well as different types of censoring schemes etc.

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“…then the available observations are Bayesian estimation based on record values has been considered by several researchers. Among them, [6]- [19]. Reference [20] discussed the Bayesian estimation problem for the shape parameter of the weighted exponential distribution based on URRSS.…”

Section: Introductionmentioning

confidence: 99%

Bayesian Analysis of Record Statistics Based on Generalized Inverted Exponential Model

Hassan¹,

Abd-Allah²,

Nagy³

2018

International Journal on Advanced Science, Engineering and Information Technology

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In some situations, only observations that are more extreme than the current extreme value are recorded. This kind of data is called record values which have many applications in a lot of fields. In this paper, the Bayesian estimators using squared error and LINEX loss functions for the generalized inverted exponential distribution parameters are considered depending on upper record values and upper record ranked set sampling. The Bayes estimates and credible intervals are derived by considering the independent gamma priors for the parameters. The Markov Chain Monte Carlo (MCMC) method is developed due to the lack of explicit forms for the Bayes estimates. A Simulation study is implemented to compute and compare the performance of estimators in both sampling schemes with respect to relative absolute biases, estimated risks and the width of credible intervals.

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Statistical inference for the generalized inverted exponential distribution based on upper record values

Cited by 48 publications

References 19 publications

Statistical Inference for the Weibull Distribution Based on δ-Record Data

Statistical Inference for the Weibull Distribution Based on δ-Record Data

Generalized inverted exponential distribution under constant stress accelerated life test: Different estimation methods with application

Bayesian Analysis of Record Statistics Based on Generalized Inverted Exponential Model

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