2017
DOI: 10.22237/jmasm/1493597760
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An extended weighted exponential distribution

Abstract: A new class of weighted distributions is proposed by incorporating an extended exponential distribution in Azzalini's (1985) method. Several statistics and reliability properties of this new class of distribution are obtained. Maximum likelihood estimators of the unknown parameters cannot be obtained in explicit forms; they have to be obtained by solving some numerical methods. Two data sets are analyzed for illustrative purposes, and show that the proposed model can be used effectively in analyzing real data.

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Cited by 10 publications
(5 citation statements)
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“…Group III includes twenty distributions: Lognormal (LOG) (Gaddum, 1945), Birnbaum-Saunders (BS) (Birnbaum, Saunders, 1969), Beta Prime (BP) (Johnson, Kotz, Balakrishnan, 1995), Gamma-Gompertz (GGO) (Johnson, Kotz, Balakrishnan, 1995), Log-Gamma (LOGG) (Kotz, Nadarajah, 2000), Marshall-Olkin Extended Weibull (MOEW) (Ghitany, Al-Hussaini, Al-Jarallah, 2005), Frechet (FR) (Castillo et al, 2005), Odd Weibull (OW) (Cooray, 2006), Extended Weibull (EW) (Tieling, Min, 2007), Generalised Inverse Weibull (GIW) (Felipe, Edwin, Gauss, 2009), Sarhan and Zaindin's Modified Weibull (SZMW) (Sarhan, Zaindin, 2009), Weibull Geometric (WG) (Barreto-Souza, de Morais, , Weibull Poisson (WP) (Lu, Shi, 2012), Kumaraswamy Inverse Weibull (KIW) (Shahbaz, Shahbaz, Butt, 2012), Generalised Gompertz (GeGO) (El-Gohary, Alshamrani, Al-Otaibi, 2013), Gamma Nadarajah-Haghighi (GNH) (Bourguignon et al, 2015), Weighted Generalised Exponential-Exponential (WGEE) (Mahdavi, 2015), Marshall-Olkin Extended Inverse Weibull (MOEIW) (Okasha et al, 2017), Cosine Sine Exponential (CSE) (Chesneau, Bakouch, Hussain, 2018), and Quasi XGamma Poisson (QXP) (Subhradev, Mustafa, Haitham, 2018).…”
Section: Piotr Sulewski Probability Distribution Modelling Of Scanner...mentioning
confidence: 99%
“…Group III includes twenty distributions: Lognormal (LOG) (Gaddum, 1945), Birnbaum-Saunders (BS) (Birnbaum, Saunders, 1969), Beta Prime (BP) (Johnson, Kotz, Balakrishnan, 1995), Gamma-Gompertz (GGO) (Johnson, Kotz, Balakrishnan, 1995), Log-Gamma (LOGG) (Kotz, Nadarajah, 2000), Marshall-Olkin Extended Weibull (MOEW) (Ghitany, Al-Hussaini, Al-Jarallah, 2005), Frechet (FR) (Castillo et al, 2005), Odd Weibull (OW) (Cooray, 2006), Extended Weibull (EW) (Tieling, Min, 2007), Generalised Inverse Weibull (GIW) (Felipe, Edwin, Gauss, 2009), Sarhan and Zaindin's Modified Weibull (SZMW) (Sarhan, Zaindin, 2009), Weibull Geometric (WG) (Barreto-Souza, de Morais, , Weibull Poisson (WP) (Lu, Shi, 2012), Kumaraswamy Inverse Weibull (KIW) (Shahbaz, Shahbaz, Butt, 2012), Generalised Gompertz (GeGO) (El-Gohary, Alshamrani, Al-Otaibi, 2013), Gamma Nadarajah-Haghighi (GNH) (Bourguignon et al, 2015), Weighted Generalised Exponential-Exponential (WGEE) (Mahdavi, 2015), Marshall-Olkin Extended Inverse Weibull (MOEIW) (Okasha et al, 2017), Cosine Sine Exponential (CSE) (Chesneau, Bakouch, Hussain, 2018), and Quasi XGamma Poisson (QXP) (Subhradev, Mustafa, Haitham, 2018).…”
Section: Piotr Sulewski Probability Distribution Modelling Of Scanner...mentioning
confidence: 99%
“…Table 1 gives observed values of the survival times of Guinea pigs in days. This dataset is already studied and fitted with different models by Lazhar et al (2017), Shanker et al (2015, and Mahdavi and Jabbari (2017). Then the comparison is carried out by considering a few other competitive models.…”
Section: Simulation Studymentioning
confidence: 99%
“…The two weighted distributions produced by the exponential distribution were added by Mahdavi (2015). The weighted exponential distribution and its homes with the utility were proposed by Dey and Perk (2015).…”
Section: Introductionmentioning
confidence: 99%