Bhattacharya and Holla Distribution and Some of Its Interesting Properties and Applications

• Autorzy: Anwar Hassan , Mehraj Ahmed Bhat
• Języki publikacji: EN

Abstrakty

EN

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. (original abstract)

Słowa kluczowe

EN

Mathematical statistics; Application of statistics

PL

Statystyka matematyczna; Zastosowanie statystyki

• Czasopismo: Statistics in Transition
• Rocznik: 2010
• Tom: 11
• Numer: nr 1
• Strony: 63--74

Twórcy

autor

Anwar Hassan

• University of Kashmir, India

autor

Mehraj Ahmed Bhat

• University of Kashmir, India

Bibliografia

• 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.
• COHEN, A. C. (1963): Estimation in mixtures of discrete distributions, proceedings of International Symposium on Discrete Distributions, Montreal, 373-378.
• GURLAND, J. (1957): Some interrelations among compound and generalized distributions, Biometrika, 44:265-268.
• GURLAND, J. (1958): A general class of contagious distributions, Biometrics, 14: 229-249.
• PATIL, G. P. (1964): On certain compound Poisson and compound binomial distribution, Synkhya, Series A, 26:293-294.
• 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.