Isotonic inference for populations related to the uniform distribution
作者： Jayanti Chotai
DOI: 10.1080/03610928308828594
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摘要: Consider the class of densities defined by Hogg and Craig (1956) related to uniform distribution, depending on an unknown parameter. Let there be k > 2 given populations yielding samples unequal sizes from such densities. Now let a partial order set value defining given. we treat isotonic estimation, testing for restrictins, homogeneity against restrictions. The exact distrubutions these tests turn out similar in structure those normal distrubution case as iven Barlow, Bartholomew, Bremner Brunk (1972) Robertson wegman (1978), that they can expressed weighted chi square distributions. applications selection ranking methodlogy are pointed out.
sci-hub.se 参考文章(11)
Richard L. Dykstra, Tim Robertson, Order Restricted Statistical Tests on Multinomial and Poisson Parameters: The Starshaped Restriction Annals of Statistics. ,vol. 10, pp. 1246- 1252 ,(1982) , 10.1214/AOS/1176345989
K. C. Seal, On Ranking Parameters of Scale in Type III Populations Journal of the American Statistical Association. ,vol. 53, pp. 164- 175 ,(1958) , 10.1080/01621459.1958.10501435
Tim Robertson, Edward J. Wegman, Likelihood Ratio Tests for Order Restrictions in Exponential Families Annals of Statistics. ,vol. 6, pp. 485- 505 ,(1978) , 10.1214/AOS/1176344195
Jayanti Chotai, Subset selection based on likelihood from uniform and related populations Communications in Statistics-theory and Methods. ,vol. 9, pp. 1147- 1164 ,(1980) , 10.1080/03610928008827948
Tim Robertson, F. T. Wright, Likelihood Ratio Tests for and Against a Stochastic Ordering Between Multinomial Populations Annals of Statistics. ,vol. 9, pp. 1248- 1257 ,(1981) , 10.1214/AOS/1176345641
D. R. Barr, M. Haseeb Rizvi, Ranking and selection problems of uniform distributions Trabajos de estadistica y de investigacion operativa. ,vol. 17, pp. 15- 31 ,(1966) , 10.1007/BF03001674
D. M. Grove, A Test of Independence against a Class of Ordered Alternatives in a 2 × C Contingency Table Journal of the American Statistical Association. ,vol. 75, pp. 454- 459 ,(1980) , 10.1080/01621459.1980.10477494
Richard L. Dykstra, Tim Robertson, An Algorithm for Isotonic Regression for Two or More Independent Variables Annals of Statistics. ,vol. 10, pp. 708- 716 ,(1982) , 10.1214/AOS/1176345866
Robert V. Hogg, On the Resolution of Statistical Hypotheses Journal of the American Statistical Association. ,vol. 56, pp. 978- 989 ,(1961) , 10.1080/01621459.1961.10482139
J. D. Kalbfleisch, Statistical Inference Under Order Restrictions Technometrics. ,vol. 17, pp. 139- 140 ,(1975) , 10.1080/00401706.1975.10489288