Estimation under a Finite Mixture of Exponentiated Exponential Components Model and Balanced Square Error Loss - Open Journal of Statistics

OJS > Vol.2 No.1, January 2012

Open Journal of Statistics

Volume 2, Issue 1 (January 2012)

ISSN Print: 2161-718X ISSN Online: 2161-7198

Google-based Impact Factor: 0.53 Citations

Estimation under a Finite Mixture of Exponentiated Exponential Components Model and Balanced Square Error Loss ()

HTML

Download as PDF (Size: 346KB) PP. 28-38

DOI: 10.4236/ojs.2012.21004 5,374 Downloads 9,557 Views Citations

Author(s)

Essam K. AL-Hussaini, Mohamed Hussein

Affiliation(s)

ABSTRACT

By exponentiating each of the components of a finite mixture of two exponential components model by a positive parameter, several shapes of hazard rate functions are obtained. Maximum likelihood and Bayes methods, based on square error loss function and objective prior, are used to obtain estimators based on balanced square error loss function for the parameters, survival and hazard rate functions of a mixture of two exponentiated exponential components model. Approximate interval estimators of the parameters of the model are obtained.

KEYWORDS

Finite Mixtures; Exponentiated Exponential Distribution; Maximum Likelihood Estimation; Bayes Estimation, Square Error and Balanced Square Error Loss Functions; Objective Prior

Share and Cite:

E. AL-Hussaini and M. Hussein, "Estimation under a Finite Mixture of Exponentiated Exponential Components Model and Balanced Square Error Loss," Open Journal of Statistics, Vol. 2 No. 1, 2012, pp. 28-38. doi: 10.4236/ojs.2012.21004.

Cited by

[1]	A new family of continuous distributions: properties and estimation
	Symmetry, 2022

[2]	Inferences of a Mixture Bivariate Alpha Power Exponential Model with Engineering Application
	Axioms, 2022

[3]	Bayesian estimation for Dagum distribution based on progressive type I interval censoring
	2021

[4]	Bayesian Estimation and Prediction Based on Constant Stress-Partially Accelerated Life Testing for Topp Leone-Inverted Kumaraswamy Distribution
	2021

[5]	A 3-Component Mixture of Exponential Distribution Assuming Doubly Censored Data: Properties and Bayesian Estimation
	2020

[6]	Reliability analysis of 3-component mixture of distributions
	Scientia Iranica, 2018

[7]	Generation of distribution functions: A survey
	Hussaini, AH Abdel-Hamid - J. Statist. Appl, 2018

[8]	Bayesian Analysis of Heterogeneous Doubly Censored Lifetime Data using the 3-Component Mixture of Rayleigh Distributions: A Monte Carlo Simulation Study
	2018

[9]	Reliability analysis of three-component mixture of distributions
	2018

[10]	Bayesian estimation of the mixture of exponentiated inverted Weibull distribution using noninformative and informative priors
	2018

[11]	On the finite mixture of exponential, Rayleigh and Burr Type-XII Distributions: Estimation of Parameters in Bayesian framework
	2017

[12]	Bayes Inference using Half-Logistic Generated Weibull Model Based on Type II Censoring
	Psychology and Sexuality, 2016

[13]	A Mixture-Based Bayesian Model Averaging Method
	2016

[14]	Log-Logistic Generated Weibull Distribution: Model, Properties, Applications and Estimations Under Progressive Type-II Censoring
	Journal of Statistics Applications & Probability, 2016

[15]	Estimation based on progressive first-failure censoring from exponentiated exponential distribution
	Teaching Education, 2016

[16]	Effects of Bayesian Model Selection on Frequentist Performances: An Alternative Approach
	2016

[17]	A Study on The Mixture of Exponentiated-Weibull Distribution
	2016

[18]	A Study on The Mixteur of Exponentiated Weibull Distribution. Part I (The Method of Maximum Likelihood Estimation)
	2016

[19]	Bayesian analysis of type-I right censored data using the 3-component mixture of Burr distributions
	Scientia Iranica. Transaction E, Industrial Engineering, 2016

[20]	Bayesian estimation of finite3-component mixture of Burr Type-XII distributions assuming Type-I right censoring scheme
	Alexandria Engineering Journal, 2016

[21]	Estimasi Parameter Distribusi Eksponensial yang Dipangkatkan dan Distribusi Campuran Eksponensial untuk Data Masa Hidup
	Kubik, 2015

[22]	Standard error estimation for mixed flood distributions with historic maxima
	Environmetrics, 2015

[23]	On a Class of Half-Logistic Generated Distributions
	2014

[24]	COMPOSITION OF CUMULATIVE DISTRIBUTION FUNCTIONS
	Journal of Statistical Theory and Applications ISSN, 2012

[25]	Prediction Based on Generalized Order Statistics from a Mixture of Rayleigh Distributions Using MCMC Algorithm
	Open Journal of Statistics, 2012

Journals Menu

Follow SCIRP

	+1 323-425-8868
	customer@scirp.org
	+86 18163351462(WhatsApp)
	1655362766

	Paper Publishing WeChat

Journals Menu

Home

About SCIRP

Service

Policies