Anwar Hassan , Mehraj Ahmed Bhat
ARTICLE

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ABSTRACT

In this paper we consider Bhattacharya and Holla’s (1965) distribution and derive its important structural properties which have not been studied so far. The distribution has very interesting properties when transformed in trigonometric functions which are also useful and alternative expression for obtaining its higher order moments. We also make an attempt to obtain estimate of its parameters. The model is fitted to the set of observed data and relative precision and a comparison has also been made.

KEYWORDS

Generating function, trigonometric function, compound distribution.

REFERENCES

BHATTACHARYA, S. K. and HOLLA, M. S. (1965): On a discrete distribution with special references to the theory of accident proneness; Journal of the American Statistical Association, 60:1060–1066.

BLISCHKE, W. R. (1963): Mixture of discrete distribution, proceedings of the International Symposium on Discrete Distributions, Montreal, 385–397. 74 A. Hassan, M. A. Bhat: Bhattacharya and holla…

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GURLAND, J. (1958): A general class of contagious distributions, Biometrics, 14: 229–249.

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JOHNSON and KOTZ, (1969) Univariate discrete distribution, John Wiley & Sons Johnson, Kotz and Kemp, (1992): Univariate discrete distribution, John Wiley & Sons.

CONSUL, P.C and JAIN (1973): A generalization of Poisson distribution: Technometrics, 15(4)791–799.

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