Some estimation procedures for the inverted exponential distribution

Prakash, Gyan

doi:10.1071/sp09013

Cited by 4 publications

(5 citation statements)

References 19 publications

(14 reference statements)

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“…6.The number of replication used was ( 1000 r  ) for each sample size (n). We obtained estimators for the parameter from equations (6) values ( v , a , b, λ ) respectively. By using different estimation methods that is maximum likelihood estimator and the Bayes estimators in three types of double priors distributions.…”

Section: Simulation Studymentioning

confidence: 99%

“…In (2009) Prakash [6] discussed the properties of the bayes estimator, shrinkage estimator and minimax estimator of the parameter under the squared error loss function and GELF for the inverted exponential distribution. He also presented the moments of the lower record value and the estimation of the parameter, based on a series of observed record values by the maximum likelihood and moment methods.In (2012) he [7] investigated the properties of Bayes estimators of the parameter, reliability function and hazard rate under the symmetric and asymmetric loss functions for the inverted exponential model.…”

Section: Introductionmentioning

confidence: 99%

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Bayes Estimators for the Parameter of the Inverted Exponential Distribution Under different Double informative priors

ناصر¹

2018

JEAS

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In this paper, we present a comparison of double informative priors which are assumed for the parameter of inverted exponential distribution.To estimate the parameter of inverted exponential distribution by using Bayes estimation ,will be used two different kind of information in the Bayes estimation; two different priors have been selected for the parameter of inverted exponential distribution. Also assumed Chi-squared - Gamma distribution, Chi-squared - Erlang distribution, and- Gamma- Erlang distribution as double priors. The results are the derivations of these estimators under the squared error loss function with three different double priors. Additionally Maximum likelihood estimation method (MLE) was used to estimate the parameter of inverted exponential distribution .We used simulation technique, to compare the performance for each estimator, several cases from inverted exponential distribution for data generating, for different samples sizes (small, medium, and large).Simulation results shown that the best method is the bayes estimation according to the smallest values of mean square errors( MSE) for all samples sizes (n) comparative to the estimated values by using MLE . According to obtained results, we see that when the double prior distribution for is Gamma- Erlang distribution for some values for the parameters a, b & given the best results according to the smallest values of mean square errors (MSE) comparative to the same values which obtained by using Maximum likelihood estimation (MLE) for the assuming true values for and for all samples sizes.

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Section: Simulation Studymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Bayes Estimators for the Parameter of the Inverted Exponential Distribution Under different Double informative priors

ناصر¹

2018

JEAS

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“…Due to its convenient structure of the distribution function, the generalized inverted Exponential distribution may be used in horse racing, queue theory, modeling wind speeds and much more. Prakash (2009) discussed some estimation of the parameters based on lower record values of the inverted exponential distribution.…”

Section: Introductionmentioning

confidence: 99%

Bayes Prediction on Optimum SS-PALT in Generalized Inverted Exponential Distribution: A Two-Sample Approach

Prakash

2022

AJS

Self Cite

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The generalized Inverted Exponential distribution is considered for the study on Optimum Step Stress Partially Accelerated Life Test (SS-PALT) based on different censoring patterns. The first-failure progressive censoring (FFPC) scheme and their special cases are used in the present study. A two-sample Bayes Prediction Bound Length (TS-BPBL) under SS-PALT on FFPC have been obtained and studied their properties by using different special cases of FFPC. Based on simulated and real data set, the properties of the ML estimates and the approximate confidence length under the normal approximation, also have been studied.

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“…[7], [8], [9] have advocated the use of IED as an appropriate model for non-monotonic satiation and also discussed the estimation procedure. [8] has discussed the properties of the various estimators for the IED and also presented the estimation of the parameter, based on lower record values. [9] proposed Bayes estimators of the parameter and reliability function for the same under general entropy loss function for complete, Type-I and Type-II censored samples.…”

Section: Introductionmentioning

confidence: 99%

“…Thus, for analyse such type of data Inverted exponential distribution (IED) has been proposed as a lifetime model by [7]. [7], [8], [9] have advocated the use of IED as an appropriate model for non-monotonic satiation and also discussed the estimation procedure. [8] has discussed the properties of the various estimators for the IED and also presented the estimation of the parameter, based on lower record values.…”

Section: Introductionmentioning

confidence: 99%

On the estimation of stress strength reliability parameter of inverted exponential distribution

Singh¹,

Singh²,

Yadav³

et al. 2015

IJSW

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This paper aims to estimate the stress-strength reliability parameter R = P (Y < X), when X and Y are independent inverted exponential random variable. We have also disscused some fundamental properties of the considered distribution. The maximum likelihood estimator (MLE) of R and its asymptotic distribution are obtained. The Bayesian estimation of the reliability parameter has been also discussed under the assumption of independent gamma prior. Numerical integration technique is used for Bayesian computation. The proposed estimators are compared in terms of their mean squared errors through the simulation study. Two real data sets representing survival of head and neck cancer patients are fitted using the inverted exponential distribution and used to estimate the stress-strength parameters and reliability.

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Some estimation procedures for the inverted exponential distribution

Abstract: The objective of the present paper is to study the properties of different types of estimators for the parameter of an inverted exponential model. Several distributional properties of the lower record values of the model are also discussed.

Cited by 4 publications

References 19 publications

Bayes Estimators for the Parameter of the Inverted Exponential Distribution Under different Double informative priors

Bayes Estimators for the Parameter of the Inverted Exponential Distribution Under different Double informative priors

Bayes Prediction on Optimum SS-PALT in Generalized Inverted Exponential Distribution: A Two-Sample Approach

On the estimation of stress strength reliability parameter of inverted exponential distribution

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