Statistics and Probability African Society Editions

Chapter 12. On some properties of the new Sine-skewed Cardioid Distribution

Cherif Mamadou Moctar TRAORÉ, Moumouni DIALLO, Gane Samb LO, Mohamed AHSANULLAH, and Lois Chinwendu OKEREKE

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Abstract

The new Sine Skewed Cardioid (ssc) distribution been just introduced and characterized by Ahsanullah (2018). Here, we study the asymptotic properties of its tails by determining its extreme value domain, the characteristic function, the moments and likelihood estimators of the two parameters, the asymptotic normality of the moments estimators and the random generation of data from the ssc distribution. Finally, we proceed to a simulation study to show the performance of the random generation method and the quality of the moments estimation of the parameters.

Chapter information

Source
Hamet Seydi, Gane Samb Lo, Aboubakary Diakhaby, eds., A Collection of Papers in Mathematics and Related Sciences, a Festschrift in Honour of the Late Galaye Dia, (Calgary, Alberta, 2018), 221-243

Dates
First available in Project Euclid: 26 September 2019

Permanent link to this document
https://projecteuclid.org/euclid.spaseds/1569509472

Digital Object Identifier
doi:10.16929/sbs/2018.100-02-09

Subjects
Primary: 62G20: Asymptotic properties 62G32: Statistics of extreme values; tail inference

Keywords
Sine Skewed Cardioid distribution extreme value domain moment estimator sample generation Tails

Citation

TRAORÉ, Cherif Mamadou Moctar; DIALLO, Moumouni; LO, Gane Samb; AHSANULLAH, Mohamed; OKEREKE, Lois Chinwendu. Chapter 12. On some properties of the new Sine-skewed Cardioid Distribution. A Collection of Papers in Mathematics and Related Sciences, 221--243, Statistics and Probability African Society, Calgary, Alberta, 2018. doi:10.16929/sbs/2018.100-02-09. https://projecteuclid.org/euclid.spaseds/1569509472


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