Discrete generalized exponential distribution of a second type

Nekoukhou, Vahid; Alamatsaz, Mohammad Hossein; Bidram, Hamid

doi:10.1080/02331888.2011.633707

Cited by 67 publications

(57 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…3) Discrete generalized exponential distribution of a second type, DGE 2 (γ, p), of Nekoukhou et al (2013) with pmf…”

Section: Discussionmentioning

confidence: 99%

“…In addition, the two-parameter discrete generalized exponential distribution of a second type (DGE 2 ) of Nekoukhou et al (2013) which is a generalization of the geometric distribution, p y = (1 − p)p y , is also fitted to these data. The EDW distribution and its special case, GDR distribution, and also generalized geometric (GG) distribution of Gómez-Déniz (2010) are other rival models.…”

Section: Applicationmentioning

confidence: 99%

See 1 more Smart Citation

The Beta-Rayleigh Distribution on the Lattice of Integers

Nekoukhou¹

2016

JSRI

View full text Add to dashboard Cite

Abstract. In this paper, a discrete analog of the beta-Rayleigh distribution is studied. This new distribution contains the generalized discrete Rayleigh and discrete Rayleigh distributions as special sub-models. Some distributional and moment properties of the new discrete distribution as well as its order statistics are discussed. We will see that the hazard rate function of the new model can be increasing, bathtub-shaped and upside-down bathtub. Estimation of the parameters is illustrated and, finally, the model with a real data set is examined.

show abstract

“…3) Discrete generalized exponential distribution of a second type, DGE 2 (γ, p), of Nekoukhou et al (2013) with pmf…”

Section: Discussionmentioning

confidence: 99%

Section: Applicationmentioning

confidence: 99%

The Beta-Rayleigh Distribution on the Lattice of Integers

Nekoukhou¹

2016

JSRI

View full text Add to dashboard Cite

show abstract

“…Moreover, two discrete analogues of the generalized exponential distribution have been introduced and studied by Nekoukhou et al (2012Nekoukhou et al ( , 2013.…”

Section: Introductionmentioning

confidence: 99%

Inferences for Extended Generalized Exponential Distribution based on Order Statistics

Abbasnejad

2017

JIRSS

View full text Add to dashboard Cite

Abstract. Recently, a new distribution, named as extended generalized exponential distribution, has been introduced by Kundu and Gupta (2011). In this paper, we consider the extended generalized exponential distribution with known shape parameters α and β. At first, the exact expressions for marginal and product moments of order statistics are derived. Then, these values are used to obtain the necessary coefficients for the best linear unbiased estimators and L-moments estimators of the location and scale parameters. The mean squared errors of these estimators are also given and compared.

show abstract

“…+ j)) distributions, we may obtain some properties of order statistics, such as their moments, from the corresponding EGG distribution (see [13] ). For example, the mean of the i-th order statistic is given by…”

Section: Now Using the Binomial Expansion For [1 − F (X; α θ γ)]mentioning

confidence: 99%

“…A discrete version of Lindley distribution is introduced by [7] and [4]. [13] obtained a new discrete distribution by discretizing generalized exponential distribution of [8]. Discrete modified Weibull distributions, which are discrete versions of some known modified Weibull distributions, are introduced by [14] and [3].…”

Section: Introductionmentioning

confidence: 99%

Exponentiated generalized geometric distribution: A new discrete distribution

Bidram¹,

Roozegar²,

Nekoukhou³

2015

HJMS

View full text Add to dashboard Cite

In this paper, a new three-parameter extension of the generalized geometric distribution of [6] is introduced. The new discrete distribution belongs to the resilience parameter family and handles a decreasing, increasing, upside-down and bathtub-shaped hazard rate function. The new distributions can also be considered as discrete analogs of some recent continuous distributions belonging to the known Marshall-Olkin family. Here, some basic statistical and mathematical properties of the new distribution are studied. In addition, estimation of the unknown parameters, a simulated example and an application of the new model are illustrated.

show abstract

Discrete generalized exponential distribution of a second type

Cited by 67 publications

References 15 publications

The Beta-Rayleigh Distribution on the Lattice of Integers

The Beta-Rayleigh Distribution on the Lattice of Integers

Inferences for Extended Generalized Exponential Distribution based on Order Statistics

Exponentiated generalized geometric distribution: A new discrete distribution

Contact Info

Product

Resources

About