The Exponentiated Type Distributions

By Saralees Nadarajah, Samuel Kotz. 2006

362 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/f178f742b4d90283bfe89d6696afe994967edd1a

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In Statistics and Probability

Citations in the corpus

The generalized odd log-logistic family of distributions: properties, regression models and applications (2017, background): “(19) Nadarajah and Kotz [16] provided closed-form expressions for moments of several exponentiated distributions that can be used to obtain GOLL-G moments.”
The beta Weibull-geometric distribution (2013, methodology): “Some well-known distributions belonging to the resilience parameter family are the exponentiated Weibull (EW) distribution [3], the generalized (or exponentiated) exponential distribution proposed by Gupta and Kundu [4], the exponentiated type distributions introduced by Nadarajah and Kotz [5].”
The gamma-Lomax distribution (2015, methodology): “[11], Gupta and Kundu [6] and Nadarajah and Kotz, [12] among others.”
The Exponentiated Generalized-G Poisson Family of Distributions (2017, background): “…et al. (1995) for exponentiated Weibull (EW), Gupta et al. (1998) for exponentiated Pareto, Gupta and Kundu (1999) for exponentiated exponential, Nadarajah and Kotz (2006) for the exponentiated-type distributions, Nadarajah (2005) for exponentiated Gumbel, Shirke and Kakade (2006) for…”
The logistic-X family of distributions and its applications (2016, methodology): “Some structural properties of the exp-G distributions are studied by Mudholkar and Srivastava (1993), Mudholkar et al. (1995), Gupta et al. (1998), Gupta and Kundu (2001), and Nadarajah and Kotz (2006), among others.”
The beta generalized exponential distribution (2008, positive): “Equation (17) generalizes the moments of the GE and BE distributions derived by Gupta and Kundu [15] and Nadarajah and Kotz [10], respectively.”
A new lifetime distribution (2014, methodology): “The three-parameter distributions are as follows: Marshall–Olkin Weibull (MOW) [23], exponentiated Weibull (EW) [24], exponentiated Fréchet (EF) [25], exponentiated Gumbel (EG) [25], beta exponential (BE) [26], Marshall–Olkin Lomax (MOL) [27] and GEP [12].”
A generalization of the exponential-Poisson distribution (2008, methodology): “Generalizations of the gamma, Weibull, Gumbel and Fréchet distributions are given by exponentiated type distributions: theexponentiated gamma, exponentiated Weibull, exponentiated Gumbel and exponentiat d Fréchet distributions, respectively; see Nadarajah and Kotz (2006).”
The Exponentiated Weibull-H Family of Distributions: Theory and Applications (2017, methodology): “[7], exponentiated gamma, exponentiated Fréchet and exponentiated Gumbel by Nadarajah and Kotz [13], exponentiated generalized class of distributions by Cordeiro et al.”
The type I half-logistic family of distributions (2016, methodology): “These last distributions are studied by Mudholkar and Hutson,[1] Gupta and Kundu,[2] Nadarajah and Kotz,[3] among others.”
The Kumaraswamy Marshal-Olkin family of distributions (2015, methodology): “[26] S. Nadarajah, S. Kotz, The exponentiated type distributions, Acta Appl.”
The Marshall-Olkin logistic-exponential distribution (2019, methodology): “Some structural properties of the EE distributions are studied in Gupta and Kundu (1999) and Nadarajah and Kotz (2006).”
The Exponentiated Generalized Class of Distributions (2021, methodology): “In a similar manner, Nadarajah and Kotz (2006) proposed the exponentiated gamma (EΓ), exponentiated Fréchet (EF) and exponentiated Gumbel (EGu) distributions, although the way they defined the cdf of the last two distributions is slightly different.”
Acceptance sampling plan based on truncated life tests for exponentiated fréchet distribution (2013, background): “…E' 1 (4) The nth moment of the EFD random variable is defi ned in the form expE X x x dx1n n 1 0 v= - - 3 m a -] bg l; E' 1# (5) and they defi ned its hazard rate function as ( ) .exp exph x x x x 1( )1 1 amvm v v= - - -m m m - + - b bl l; ;E E' 1 (6) For more details see Nadarajah and Kotz (2006).”