f-Dissimilarity of several distributions in testing statistical hypotheses

Annals of the Institute of Statistical Mathematics

Volumn 50, Issue 2, 1998, Pages 295-310

  Zografos, K ^a  

^a UNIVERSITY OF IOANNINA   (Greece)

Author keywords

Asymptotic distribution; f dissimilarity; f dissimilarity statistic; Multinomial distribution; Multivariate normal distribution; Testing statistical hypotheses

Indexed keywords

EID: 7844246146     PISSN: 00203157     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1003443215838     Document Type: Article

References (17)

1. Cressie, N. and Read, T. R. C. (1984). Multinomial goodness of fit tests, J. Roy. Statist. Soc. Ser. B, 46, 440-464.
2. Csiszar, I. (1967). Information type measures of difference of probability distributions and indirect observations, Studia. Sci. Math. Hungar., 2, 299-318.
3. Gil, M. A. (1989). A note in stratification and gain in precision in estimating diversity from large samples, Comm. Statist. Theory Methods, 18, 1521-1526.
4. Gyorfi, L. and Nemetz, T. (1978). f-dissimilarity: a generalization of the affinity of several distributions, Ann. Inst. Statist. Math., 30, 105-113.
5. Matusita, K. (1966). A distance and related statistics in multivariate analysis, Multivariate Analysis (ed. P. R. Krishnaiah), 187-200, Academic Press, New York.
6. Matusita, K. (1967). On the notion of affinity of several distributions and some of its applications, Ann. Inst. Statist. Math., 19, 181-192.
7. Menendez, M. L., Morales, D., Pardo, L. and Salicru, M. (1995). Asymptotic behaviour and statistical applications of divergence measures in multinomial populations: a unified study, Statistical Papers, 36, 1-29.
8. Morales, D., Pardo, L., Salicru, M. and Menendez, M. L. (1994). Asymptotic properties of divergence statistics in a stratified random sampling and its applications to test statistical hypotheses, J. Statist. Plann. Inference, 38, 201-222.
9. Nayak, T. K. (1985). On diversity measures based on entropy functions, Comm. Statist. Theory Methods, 14, 203-215.
10. Papaioannou, P. C. and Kempthorne, O. (1971). On statistical information theory and related measures of information, ARL. Tech. Report 71-0059, Aerospace Research Laboratories, Wright-Patterson A. F. B., Ohio.
11. Pardo, L., Salicru, M., Menendez, M. L. and Morales, D. (1995). Divergence measures based on entropy functions and statistical inference, Sankhyā Ser. B, 57, 315-337.
12. Salicru, M., Morales, D., Menendez, M. L. and Pardo, L. (1994). On the applications of divergence type measures in testing statistical hypotheses, J. Multivariate Anal., 51, 372-391.
13. Serfling, R. J. (1980). Approximation theorems of mathematical statistics, Wiley, New York.
14. Toussaint, G. T. (1974). Some properties of Matusita's measure of affinity of several distributions, Ann. Inst. Statist. Math., 26, 389-394.
15. Zografos, K. (1993). Asymptotic properties of Φ-divergence statistic and its applications in contingency tables, International Journal of Mathematical and Statistical Sciences, 2, 5-21.
16. Zografos, K. (1994). Asymptotic distributions of estimated f-dissimilarity between populations in stratified random sampling, Statist. Probab. Lett., 21, 147-151.
17. Zografos, K., Ferentinos, K. and Papaioannou, T. (1990). Φ-divergence statistics: sampling properties and multinomial goodness of fit and divergence tests, Comm. Statist. Theory Methods, 19, 1785-1802.