Summary
Some general properties of mixtures of distributions which are useful in theory and practice are surveyed. The structural properties of finite mixtures are explained, and some useful statistics are introduced. The statistical works regarding mixing distributions and the parameters of finite mixtures are mentioned.
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
Behboodian, J. (1970). Technometries 12, 131–139.
Behboodian, J. (1972). Technometries 14, 919–923.
Behboodian, J. (1972). J. Statist. Comput. Simul. 295–314.
Behboodian, J. (1972). Sankhyã Ser B 34, 15–20.
Boes, D. C. (1966). Ann. Math. Statist. 37, 177–187.
Boes, D. C. (1967). Sankhyã Ser A 29, 417–420.
Choi, K. and Bulgren, W. G. (1968). J. Roy. Statist. Soc. 30, 444–460.
Day, N. E. (1969). Biometrika 56, 463–474.
Deely, J. J. and Kruse, R. L. (1968). Ann. Math. Statist. 39, 286–288.
Feller, W. (1971). An Introduction to Probability Theory and Its Applications, Vol. LI ( 2nd ed. ). John Wiley and Sons, Inc., New York.
Hill, B. M. (1963). J. Araer. Statist. Assoc. 58, 918–932.
Ifram, A. F. (1970). J. Amer. Statist. Assoc. 65, 749–753.
Keilson, J. and Steutel, F. W. (1974). Ann. Prob. 2, 112–129.
Lutful Kabir, A. B. M. (1968). J. R. Statist. Soc. B 30, 472–482.
Patii, G. P. (1965). Sankhyã Ser A 27, 259–270.
Patii, G. P. (1967). Sankhyã Ser B 30, 355–366.
Patii, G. P. and Bildikar, S. (1966). Proc. Camb. Philos. Soc. 62, 484–494.
Pearson, K. (1894). Phill. Trans. Roy. Soc. A 185, 71–110.
Robbins, H. (1948). Ann. Math. Statist. 19, 360–367.
Robbins, H. and Pitman, E. J. G. (1949). Ann. Math. Statist. 20, 552–560.
Robbins, H. (1964). Ann. Math. Statist. 35, 1–20.
Robertson, C. A. and Fryer, J. G. (1970). Biometrika 57, 57–65.
Rolph, J. E. (1968). Ann. Math. Statist. 39, 1289–1302.
Scheaffer, R. L. (1974). Biometrics 30, 187–198.
Teicher, H. (1960). Ann. Math. Statist. 31, 55–73.
Teicher, H. (1961). Ann. Math. Statist. 32, 244–248.
Teicher, H. (1961). Ann. Math. Statist. 34, 1265–1269.
Yakowitz, S. and Spragins, J. (1968). Ann. Math. Statist. 39, 209–214.
Yakowitz, S. (1969). Ann. Math. Statist. 40, 1728–1735.
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
Behboodian, J. (1975). Structural Properties and Statistics of Finite Mixtures. 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_9
Download citation
DOI: https://doi.org/10.1007/978-94-010-1842-5_9
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-1844-9
Online ISBN: 978-94-010-1842-5
eBook Packages: Springer Book Archive