On structural models and a theorem of d. basu

References

• Bain , Lee J. 1972 . Inferences based on censored sampling from the Weibull or extreme-value distribution . Technometrics , 14 : 693 – 702 .
   Web of Science ®Google Scholar
• Basu , D. 1955 . On statistics independent of a complete sufficient statistic . Sankhyā , 15 : 377 – 380 .
   Google Scholar
• Bernholtz , B. 1975 . Applications of the structural method in statistical inference . Int. Statist. Rev , 43 : 289 – 300 .
   Google Scholar
• Bury , K.V. and Bernholtz , B. 1971 . On structural inference applied to the Weibull distribution . Statist. Hefte , 12 : 177 – 192 .
   Google Scholar
• Fraser , D.A.S. 1966 . On sufficiency and conditional sufficiency . Sankhyā , 28 : 145 – 150 .
   Google Scholar
• Fraser , D.A.S. 1968 . The Structure of Inference , New York : John Wiley & Sons .
   Google Scholar
• Fraser , D.A.S. 1976 . Necessary analysis and adaptive inference . J. Amer. Statist. Assoc , 71 : 99 – 111 .
   Web of Science ®Google Scholar
• Fraser , D.A.S. and MacKay , Jock . 1975 . Parameter factorization and inference based on significance, likelihood and objective posterior . Ann.Statist , 3 : 559 – 572 .
   Google Scholar
• Hogg , R.V. and Craig , A.T. 1956 . Sufficient statistics in elementary distribution theory . Sankhyā A , 17 : 209 – 216 .
   Google Scholar
• Laurent , Andre G. 1963 . Conditional distribution of order statistics and distribution of the reduced ith order statistic of the exponential model . Ann. Math. Statist , 34 : 652 – 657 .
   Google Scholar
• Tan , Peter . 1974 . Four approaches to inference on Weibull parameters . Utilitas Math , 6 : 111 – 120 .
   Google Scholar
• Zacks , S. 1971 . The Theory of Statistical Inference , New York : John Wiley & Sons .
   Google Scholar