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.

Bayesian prediction of order statistics based on k-record values from exponential distribution

Statistics ◽  
2010 ◽  
Vol 45 (4) ◽  
pp. 375-387 ◽  
Author(s):  
Jafar Ahmadi ◽  
S. M.T.K. MirMostafaee ◽  
N. Balakrishnan
Keyword(s):  
Order Statistics ◽  
Exponential Distribution ◽  
Record Values ◽  
Bayesian Prediction

scholarly journals Concomitants of dual generalized order statistics from bivariate burr II distribution

2015 ◽  
Vol 33 (2) ◽  
pp. 18
Author(s):  
Haseeb Athar ◽  
Nayabuddin ◽  
M. Almech Ali
Keyword(s):  
Probability Density Function ◽  
Probability Density ◽  
Order Statistics ◽  
Density Function ◽  
Record Values ◽  
Generalized Order Statistics ◽  
Lower Record ◽  
Lower Record Values ◽  
Dual Generalized Order Statistics ◽  
Generalized Order

Dual generalized order statistics is a common approach to enable descending ordered random variables like reverse order statistics and lower record values. In this paper probability density function of single concomitant and joint probability density function of two concomitants of dual generalized order statistics from bivariate Burr II distribution are obtained and expressions for moment generating function and cumulant generating function are derived. Also the expressions for mean, variance and covariance are given. Further, results are deduced for the reverse order statistics and lower record values.

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 Recurrence Relations for Marginal and Joint Moment Generating Functions of Topp-Leone Generated Exponential Distribution based on Record Values and its Characterization

2020 ◽  
Vol 18 (1) ◽  
Author(s):  
Zaki Anwar ◽  
Neetu Gupta ◽  
Mohd. Akram Raza Khan ◽  
Qazi Azhad Jamal
Keyword(s):  
Exponential Distribution ◽  
Recurrence Relation ◽  
Generating Functions ◽  
Recurrence Relations ◽  
Moment Generating Function ◽  
Record Values ◽  
Joint Moment ◽  
Moment Generating Functions ◽  
Lower Record ◽  
Lower Record Values

The exact expressions and some recurrence relations are derived for marginal and joint moment generating functions of kth lower record values from Topp-Leone Generated (TLG) Exponential distribution. This distribution is characterized by using the recurrence relation of the marginal moment generating function of kth lower record values.

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 Dual Generalized Order Statistics from Gompertz-Verhulst Distribution and Characterization

2020 ◽  
Vol 8 (4) ◽  
pp. 801-809
Author(s):  
Izhar Khan
Keyword(s):  
Order Statistics ◽  
Conditional Expectation ◽  
Record Values ◽  
Generalized Order Statistics ◽  
Characterization Result ◽  
Lower Record ◽  
Lower Record Values ◽  
Dual Generalized Order Statistics ◽  
Reversed Order ◽  
Generalized Order

The dual generalized order statistics is a unified scheme which contains the well known decreasingly ordered random variables such as (reversed) order statistics, lower record values and lower Pfeifer record values. In this article, characterization results on Gompertz-Verhulst distribution through the conditional expectation of dual generalized order statistics based on non-adjacent dual generalized order statistics are given. These relations are deduced for moments of reversed order statistics, order statistics and lower record values. Further a characterization result through the truncated moment is also derived.

scholarly journals Inferences for generalized Topp-Leone distribution under dual generalized order statistics with applications to Engineering and COVID-19 data

2021 ◽  
Vol 16 (2) ◽  
pp. 125-141
Author(s):  
Devendra Kumar ◽  
Mazen Nassar ◽  
Sanku Dey ◽  
Ahmed Elshahhat
Keyword(s):  
Order Statistics ◽  
Record Values ◽  
Generalized Order Statistics ◽  
Model Parameters ◽  
Lower Record ◽  
Lower Record Values ◽  
Dual Generalized Order Statistics ◽  
Lower Records ◽  
Highest Posterior Density ◽  
Generalized Order

This article accentuates the estimation of a two-parameter generalized Topp-Leone distribution using dual generalized order statistics (dgos). In the part of estimation, we obtain maximum likelihood (ML) estimates and approximate confidence intervals of the model parameters using dgos, in particular, based on order statistics and lower record values. The Bayes estimate is derived with respect to a squared error loss function using gamma priors. The highest posterior density credible interval is computed based on the MH algorithm. Furthermore, the explicit expressions for single and product moments of dgos from this distribution are also derived. Based on order statistics and lower records, a simulation study is carried out to check the efficiency of these estimators. Two real life data sets, one is for order statistics and another is for lower record values have been analyzed to demonstrate how the proposed methods may work in practice.

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