## Statistics and Probability African Society Editions

- SPAS Books Series
- Volume 1, 2018, 45-55

### Chapter 5. Sine-Skewed Cardioid Distribution

#### Abstract

Azzalini (1985) introduced a family of skew symmetric distributions. His technique has been applied to skew many continuous distribution defined on the entire real axis. Very few people worked on circular or on distributions defined on finite intervals. In this paper it is considered a sine-skewed cardioid distribution generated by perturbation of symmetric Cardioid distribution. Several basic properties of the sine-skewed cardioid distribution will be presented. Based on the truncated moment some characterizations of this distribution are given.

#### Chapter information

**Source***A Collection of Papers in Mathematics and Related Sciences, a Festschrift in Honour of the Late Galaye Dia*, (Calgary, Alberta, 2018)

**Dates**

First available in Project Euclid: 26 September 2019

**Permanent link to this document**

https://projecteuclid.org/euclid.spaseds/1569509465

**Digital Object Identifier**

doi:10.16929/sbs/2018.100-02-01

**Subjects**

Primary: 62EXX 62E10: Characterization and structure theory 62E15: Exact distribution theory

**Keywords**

skew distribution circular distribution cardioid distribution, symmetric distribution characerization

#### Citation

AHSANULLAH, Mohamed. Chapter 5. Sine-Skewed Cardioid Distribution. A Collection of Papers in Mathematics and Related Sciences, 45--55, Statistics and Probability African Society, Calgary, Alberta, 2018. doi:10.16929/sbs/2018.100-02-01. https://projecteuclid.org/euclid.spaseds/1569509465