Estimation with the generalized exponential distribution based on record values and inter-record times

2013 ◽  
Vol 85 (5) ◽  
pp. 978-999 ◽  
Author(s):  
Fatih Kızılaslan ◽  
Mustafa Nadar
Keyword(s):  
Exponential Distribution ◽  
Record Values ◽  
Generalized Exponential Distribution ◽  
Record Times

Concomitants of order statistics and record values from Bairamov-Kotz-Becki-FGM bivariate-generalized exponential distribution

Filomat ◽  
2018 ◽  
Vol 32 (9) ◽  
pp. 3313-3324 ◽  
Author(s):  
H.M. Barakat ◽  
E.M. Nigm ◽  
A.H. Syam
Keyword(s):  
Order Statistics ◽  
Exponential Distribution ◽  
Recurrence Relations ◽  
Record Values ◽  
Generalized Exponential Distribution ◽  
Bivariate Distributions ◽  
Concomitants Of Order Statistics ◽  
Distributional Properties

We introduce the Bairamov-Kotz-Becki-Farlie-Gumble-Morgenstern (BKB-FGM) type bivariategeneralized exponential distribution. Some distributional properties of concomitants of order statistics as well as record values for this family are studied. Recurrence relations between the moments of concomitants are obtained, some of these recurrence relations were not publishes before for Morgenstern type bivariate distributions. Moreover, most of the paper results are extended to arbitrary distributions (see Remark 3.1).

scholarly journals Bayesian Prediction of Order Statistics Based on k-Record Values from a Generalized Exponential Distribution

Stats ◽  
2019 ◽  
Vol 2 (4) ◽  
pp. 447-456
Author(s):  
Zoran Vidović
Keyword(s):  
Order Statistics ◽  
Exponential Distribution ◽  
Record Values ◽  
Bayesian Prediction ◽  
Generalized Exponential Distribution ◽  
Lower Record ◽  
Lower Record Values ◽  
Future Sample

We examine in this paper the implementation of Bayesian point predictors of order statistics from a future sample based on the k th lower record values from a generalized exponential distribution.

scholarly journals Inference for generalized exponential distribution based on generalized order statistics

2015 ◽  
Vol 4 (2) ◽  
pp. 370
Author(s):  
Eldesoky Afify
Keyword(s):  
Order Statistics ◽  
Exponential Distribution ◽  
Survival Function ◽  
Simulated Data ◽  
Record Values ◽  
Generalized Order Statistics ◽  
Generalized Exponential Distribution ◽  
Upper Record Values ◽  
Upper Record ◽  
Generalized Order

<p>Estimation of a parameter of generalized exponential distribution (gexp) is obtained based on generalized order statistics. The maximum likelihood and Bayes methods are used for this purpose. Survival function and hazard rate are also computed. Estimation based on upper record values from generalized exponential distribution is obtained as a special case and compared by simulated data.</p>

scholarly journals Interval prediction of order statistics based on records by employing inter-record times

2016 ◽  
Vol 13 (1) ◽  
Author(s):  
Morteza Amini ◽  
Seyed MirMostafaee2
Keyword(s):  
Order Statistics ◽  
Exponential Distribution ◽  
Record Values ◽  
Record Times ◽  
Underlying Distribution ◽  
Additional Information ◽  
Interval Prediction ◽  
Two Parameter

In this note, we propose a parametric inferential procedure for predicting future order statistics, based on record values, which takes inter-record times into account. We utilize the additional information contained in inter-record times for predicting future order statistics on the basis of observed record values from an independent sample. The two parameter exponential distribution is assumed to be the underlying distribution.

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