Summary
Some recent results in power series distributions (psd’s on the following topics are discussed: (i) minimum variance unbiased estimation, (ii) elementary integral expressions for the distribution function, and (iii) sum-symmetric powers series distributions which is a multivariate extension of univariate psd’s.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Ahuja, J. C. and Enneking, E. A. (1972). J. Amer. Stat. Assoc. 67, 232.
Johnson, N. L. (1959). Biometrika 46, 352–363.
Joshi, S. W. Integral expressions for the tail probabilities of the power series distributions. (To appear in Sankhya.)
Joshi, S. W. and Park, C. J. (1974). Minimum variance unbiased estimation for truncated power series distributions. Sankhyã Ser A, in press.
Joshi, S. W. and Patil, G. P. (1971). Sankhya Ser A, J33, 175–184.
Joshi, S. W. and Patil, G. P. (1972). Sankhya Ser A, 34, 377–386.
Kemp, C. D. and Kemp, A. W. (1965). Biometrika 52, 381–394.
Kosambi, D. D. (1949). Proc. National Inst. Sci. India 15, 109–113.
Noack, A. (1950). Ann. Math. Statist. 21, 127–132.
Patil, G. P. (1959). Contributions to estimation in a class of discrete distributions. Ph.D. Thesis, University of Michigan, Ann Arbor, Michigan.
Patil, G. P. (1961). Sankhyã 23, 269–280.
Patil, G. P. (1962). Ann. Inst. Statist. Math. 14, 179–182.
Patii, G. P. (1963). Ann. Math. Statist. 34, 1050–1056.
Patil, G. P. (1968). Sankhyã Ser B 30, 355–366.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1975 D. Reidel Publishing Company, Dordrecht-Holland
About this paper
Cite this paper
Joshi, S.W. (1975). Some Recent Advances with Power Series Distributions. In: Patil, G.P., Kotz, S., Ord, J.K. (eds) A Modern Course on Statistical Distributions in Scientific Work. NATO Advanced Study Institutes Series, vol 17. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-1842-5_2
Download citation
DOI: https://doi.org/10.1007/978-94-010-1842-5_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-1844-9
Online ISBN: 978-94-010-1842-5
eBook Packages: Springer Book Archive