Truncated-exponential skew-symmetric distributions

Nadarajah, Saralees; Nassiri, Vahid; Mohammadpour, Adel

doi:10.1080/02331888.2013.821474

Cited by 26 publications

(20 citation statements)

References 24 publications

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“…Given our interest in flexible alternatives versions of parent distributions, the representation (9) is particularly useful since the roles played by the parent distribution G(x) and the FHT-mechanism p ω (s) are clearly separated, provided that the form of p ω (s) is not linked to G. Also, the FHT-mechanism explains the biological process of developing before the occurrence of the event of interest. In this sense, our approach is different of the one pioneered by Nadarajah et al (2009) and Barreto and Simas (2013).…”

Section: The Activation Mechanism: Stochastic Carcinogenesis Countingmentioning

confidence: 91%

“…For more details of the Poisson case, we refer to Nadarajah et al (2009) and Barreto and Simas (2013).…”

Section: Some Fht-g Modelsmentioning

confidence: 99%

“…This does not lead to loss of biological sense, because ρ can be interpreted as the average number of unrepaired cells. We emphasize that (17) was obtained by Nadarajah et al (2009) and Barreto and Simas (2013) using a different approach based on the truncated exponential distribution without any biological interpretation. • If we let ω → 1 in the above shifted geometric distribution and G(x) = 1 − e −x , the MG model converges to a simple exponential model, where ρ = θ is the mean number of initiated cells.…”

Section: Modified First-hitting Time G (Mfht-g) Distributionsmentioning

confidence: 99%

See 2 more Smart Citations

Modeling Lifetimes by a Stochastic Process Hitting a Critical Point

Rodrigues¹,

Cordeiro²,

Castro³

2014

Communications in Statistics - Theory and Methods

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Brazil First hitting times arise naturally in survival analysis where the underlying stochastic counting process represents the strength of the health of an individual. The patient experiences a clinical endpoint when this process reaches a critical point for the first time. We propose a very flexible and unified first hitting time density function in a stochastic carcinogenesis counting process, and its mathematical properties are investigated. The Poisson and negative binomial first hitting time models are addressed and two examples with real data are presented.

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Section: The Activation Mechanism: Stochastic Carcinogenesis Countingmentioning

confidence: 91%

“…For more details of the Poisson case, we refer to Nadarajah et al (2009) and Barreto and Simas (2013).…”

Section: Some Fht-g Modelsmentioning

confidence: 99%

Section: Modified First-hitting Time G (Mfht-g) Distributionsmentioning

confidence: 99%

See 1 more Smart Citation

Modeling Lifetimes by a Stochastic Process Hitting a Critical Point

Rodrigues¹,

Cordeiro²,

Castro³

2014

Communications in Statistics - Theory and Methods

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“…Further, EðX i:n Þ ¼ wðiÞ À wðn À i þ 1Þ and VarðX i:n Þ ¼ w 0 ðiÞ þ w 0 ðn À i þ 1Þ, where Cð:Þ, wð:Þ and w 0 ð:Þ are gamma, digamma and trigamma functions, respectively. Let Y $ TESLðkÞ it follows from Nadarajah et al [12]; the mgf of Y i:n is given by…”

Section: Propertiesmentioning

confidence: 99%

“…Nadarajah et al [12] introduce a new family of skew distributions, naming it truncated-exponential skew-symmetric (TESS) distributions. TESS is a member of the exponential family; therefore, the estimate of the skewness parameter can be obtained easier.…”

Section: Introductionmentioning

confidence: 99%

A new class of skew-logistic distribution

Mirzadeh

Iranmanesh

2019

Math Sci

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In this study, the researchers introduce a new class of the logistic distribution which can be used to model the unimodal data with some skewness present. The new generalization is carried out using the basic idea of Nadarajah (Statistics 48(4):872-895, 2014), called truncated-exponential skew-logistic (TESL) distribution. The TESL distribution is a member of the exponential family; therefore, the skewness parameter can be derived easier. Meanwhile, some important statistical characteristics are presented; the real data set and simulation studies are applied to evaluate the results. Also, the TESL distribution is compared to at least five other skew-logistic distributions.

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On some properties of the hazard rate function for compound distributions

2020

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The hazard rate function is an important quantity characterizing several random phenomena. In this paper, we investigate some crucial properties satisfied by the hazard rate function for a general power series class of distributions, as monotonicity properties, sharp bounds and convexity properties. We highlight how these properties are related to those of the baseline distribution and the corresponding probability-generating function of discrete power series distributions.

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Truncated-exponential skew-symmetric distributions

Cited by 26 publications

References 24 publications

Modeling Lifetimes by a Stochastic Process Hitting a Critical Point

Modeling Lifetimes by a Stochastic Process Hitting a Critical Point

A new class of skew-logistic distribution

On some properties of the hazard rate function for compound distributions

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