Al-Faris, Rand Q. and Khan, Shahjahan (2008) Sine square distribution: a new statistical model based on the sine function. Journal of Applied Probability and Statistics, 3 (1). pp. 163-173. ISSN 1930-6792
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Abstract
[Abstract]: This paper introduces a new continuous distribution based on the sine function. The proposed Sine Square distribution has one parameter and its domain depends on this parameter. The probability density function f(x) of a Sine Square variable X as well as its cumulative distribution function F(x) are defined. The formulas for the rth raw moment and central moments, moments generating function (m.g.f.), characteristic function (c.f.) and some other properties of the new distribution are provided. A method to generate random variables from the Sine Square distribution is analyzed and applied.
| Item Type: | Article (Commonwealth Reporting Category C) |
|---|---|
| Additional Information: | Deposited with blanket permission of publisher. |
| Uncontrolled Keywords: | sine function; probability and distribution functions; generating functions; simulation of random variables |
| Fields of Research (FOR2008): | 01 Mathematical Sciences > 0104 Statistics > 010404 Probability Theory 01 Mathematical Sciences > 0104 Statistics > 010405 Statistical Theory |
| Subjects: | 230000 Mathematical Sciences > 230200 Statistics > 230203 Statistical Theory 230000 Mathematical Sciences > 230200 Statistics > 230201 Probability Theory |
| Socio-Economic Objective (SEO2008): | UNSPECIFIED |
| ID Code: | 4511 |
| Deposited By: | |
| Deposited On: | 09 Oct 2008 09:37 |
| Last Modified: | 25 Feb 2013 09:29 |
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