Bhattacharya, Debasis; Basu, A. K. Local asymptotic minimax risk bounds in a locally asymptotically mixture of normal experiments under asymmetric loss. (English) Zbl 1268.62012 Rojo, Javier (ed.), Optimality. The second Erich L. Lehmann symposium. Selected papers based on the presentations at the symposium, Houston, TX, USA, May 19–22, 2004. Beachwood, OH: IMS, Institute of Mathematical Statistics (ISBN 978-0-940600-66-9/pbk). Institute of Mathematical Statistics Lecture Notes - Monograph Series 49, 312-321 (2006). MSC: 62C20 62B15 62F12 62E20 PDF BibTeX XML Cite \textit{D. Bhattacharya} and \textit{A. K. Basu}, IMS Lect. Notes, Monogr. Ser. 49, 312--321 (2006; Zbl 1268.62012) Full Text: arXiv
Basu, Adhir K.; Bhattacharya, Debasis Asymptotic minimax bounds for sequential estimators of parameters in a locally asymptotically quadratic family. (English) Zbl 0982.62067 Braz. J. Probab. Stat. 13, No. 2, 137-148 (1999). MSC: 62L12 62F12 PDF BibTeX XML Cite \textit{A. K. Basu} and \textit{D. Bhattacharya}, Braz. J. Probab. Stat. 13, No. 2, 137--148 (1999; Zbl 0982.62067)
Basu, A. K.; Bhattacharya, D. On fixed width confidence intervals associated with maximum likelihood estimation of parameter under dependent setup. (English) Zbl 1103.62360 Math. Methods Stat. 7, No. 4, 466-478 (1998). MSC: 62L12 62M10 62M05 62F25 PDF BibTeX XML Cite \textit{A. K. Basu} and \textit{D. Bhattacharya}, Math. Methods Stat. 7, No. 4, 466--478 (1998; Zbl 1103.62360)
Basu, A. K.; Bhattacharya, Debasis On the speed of convergence of log-likelihood ratio processes to standard mixtures of normal distributions. (English) Zbl 0827.62016 Indian J. Pure Appl. Math. 25, No. 10, 1017-1029 (1994). MSC: 62E20 62M99 62M10 PDF BibTeX XML Cite \textit{A. K. Basu} and \textit{D. Bhattacharya}, Indian J. Pure Appl. Math. 25, No. 10, 1017--1029 (1994; Zbl 0827.62016)
Basu, A. K.; Bhattacharya, Debasis On the speed of convergence in the central limit theorem of sequential log-likelihood ratio processes. (English) Zbl 0808.62068 Sequential Anal. 13, No. 2, 97-111 (1994). Reviewer: T.F.Móri (Budapest) MSC: 62L10 60F05 60G40 62L12 PDF BibTeX XML Cite \textit{A. K. Basu} and \textit{D. Bhattacharya}, Sequential Anal. 13, No. 2, 97--111 (1994; Zbl 0808.62068) Full Text: DOI
Basu, A. K.; Bhattacharya, D. On the speed of convergence in the central limit theorem of log- likelihood ratio processes. (English) Zbl 0792.60016 J. Theor. Probab. 6, No. 4, 619-634 (1993). MSC: 60F05 PDF BibTeX XML Cite \textit{A. K. Basu} and \textit{D. Bhattacharya}, J. Theor. Probab. 6, No. 4, 619--634 (1993; Zbl 0792.60016) Full Text: DOI
Basu, A. K.; Bhattacharya, Debasis On the asymptotic non-null distribution of randomly stopped log- likelihood ratio statistic. (English) Zbl 0769.62016 Bull., Calcutta Stat. Assoc. 42, No. 167-168, 255-260 (1992). MSC: 62E20 62L10 60F05 PDF BibTeX XML Cite \textit{A. K. Basu} and \textit{D. Bhattacharya}, Bull., Calcutta Stat. Assoc. 42, No. 167--168, 255--260 (1992; Zbl 0769.62016) Full Text: DOI
Basu, A. K.; Bhattacharya, Debasis Weak convergence of randomly stopped log-likelihood ratio statistic to mixed Gaussian process. (English) Zbl 0777.60021 Bull., Calcutta Stat. Assoc. 39, No. 155-156, 137-149 (1990). Reviewer: T.F.Móri (Budapest) MSC: 60F05 62F12 PDF BibTeX XML Cite \textit{A. K. Basu} and \textit{D. Bhattacharya}, Bull., Calcutta Stat. Assoc. 39, No. 155--156, 137--149 (1990; Zbl 0777.60021) Full Text: DOI
Basu, A. K.; Bhattacharya, Debasis Local asymptotic mixed normality of log-likelihood based on stopping times. (English) Zbl 0677.62016 Bull., Calcutta Stat. Assoc. 37, No. 147-148, 143-159 (1988). MSC: 62E20 PDF BibTeX XML Cite \textit{A. K. Basu} and \textit{D. Bhattacharya}, Bull., Calcutta Stat. Assoc. 37, No. 147--148, 143--159 (1988; Zbl 0677.62016) Full Text: DOI