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- Debasis Kundu, Rameshwar D. Gupta
- Computational Statistics & Data Analysis
- 2008

Recently two-parameter generalized exponential distribution has been introduced by the authors. In this paper we consider the Bayes estimators of the unknown parameters under the assumptions of gamma priors on both the shape and scale parameters. The Bayes estimators can not be obtained in explicit forms. Approximate Bayes estimators are computed using the… (More)

In this article we study some properties of a new family of distributions, namely Exponentiated Exponential distribution, discussed in Gupta, Gupta, and Gupta (1998). The Exponentiated Exponential family has two parameters (scale and shape) similar to a Weibull or a gamma family. It is observed that many properties of this new family are quite similar to… (More)

- Debasis Kundu, Rameshwar D. Gupta
- J. Multivariate Analysis
- 2009

Recently it is observed that the generalized exponential distribution can be used quite effectively to analyze lifetime data in one dimension. The main aim of this paper is to define a bivariate generalized exponential distribution so that the marginals have generalized exponential distributions. It is observed that the joint probability density function,… (More)

- RAMESHWAR D. GUPTA, DEBASIS KUNDUb

Recently a new distribution, named as generalized exponential distribution has been introduced and studied quite extensively by the authors. Generalized exponential distribution can be used as an alternative to gamma or Weibull distribution in many situations. In a companion paper, the authors considered the maximum likelihood estimation of the dierent… (More)

- Rameshwar D. Gupta, Debasis Kundu
- Computational Statistics & Data Analysis
- 2003

Recently the two-parameter generalized exponential (GE) distribution was introduced by the authors. It is observed that a GE distribution can be considered for situations where a skewed distribution for a non-negative random variable is needed. The ratio of the maximized likelihoods (RML) is used in discriminating between Weibull and GE distributions.… (More)

Mudholkar and Srivastava [25] introduced three-parameter exponentiated Weibull distribution. Two-parameter exponentiated exponential or generalized exponential distribution is a particular member of the exponentiated Weibull distribution. Generalized exponential distribution has a right skewed unimodal density function and monotone hazard function similar… (More)

- Debasis Kundu, Rameshwar D. Gupta
- IEEE Trans. Reliability
- 2006

This paper deals with the estimation of = [ ] when , and are two independent Weibull distributions with different scale parameters, but having the same shape parameter. The maximum likelihood estimator, and the approximate maximum likelihood estimator of are proposed. We obtain the asymptotic distribution of the maximum likelihood estimator of . Based on… (More)

A random vector (Xl' •.. , X n ), with positive components, is said to have a Liouville distribution if its joint probability density aC I an-l function is of the form f (xl + ... + x n ) xl •.. x n with the a i all positive. Examples of these are the Dirichlet and inverted Dirichlet distribution. In this paper, a comprehensive treatment of the Liouville… (More)

Recently a new distribution, named as generalized exponential distribution or exponentiated exponential distribution was introduced and studied quite extensively by the authors. It is observed that the generalized exponential distribution can be used as an alternative to the gamma distribution in many situations. Different properties like monotonicity of… (More)

In this paper we consider the Fisher information matrices of the generalized exponential (GE) and Weibull distributions for complete and Type-I censored observations. Fisher information matrix can be used to compute asymptotic variances of the different estimators. Although both distributions may provide similar data fit but the corresponding Fisher… (More)