Edit Profile (opens in new tab) Basu, Adhir Kuar (b. 1939 d. 2005) Co-Author Distance Author ID: basu.adhir-k Published as: Basu, A. K.; Basu, Adhir K. Documents Indexed: 57 Publications since 1969, including 2 Books 1 Contribution as Editor Reviewing Activity: 112 Reviews Biographic References: 1 Publication Co-Authors: 4 Co-Authors with 8 Joint Publications 355 Co-Co-Authors all top 5 Co-Authors 15 single-authored 7 Bhattacharya, Debasis 5 Das, Jiwan Kumar 3 Mukhopadhyay, Indranil 3 Sen Roy, S. 3 Wasan, M. T. 1 Ahmad, Ibrahim A. 1 Ahmed, Syed Ejaz 1 Ahsanullah, Mohammad 1 Chow, Yuan Shih 1 Datta, Lakshmikanta 1 Dorea, Chang Chung Yu 1 Ghosh, Jayanta Kumar 1 Kundu, Arindam 1 Owen, Willis L. 1 Sen, Pranab Kumar 1 Sinha, Bimal Kumar 1 Thompson, Mary Elinore all top 5 Serials 12 Calcutta Statistical Association. Bulletin 4 Sankhyā. Series A. Methods and Techniques 4 Scandinavian Actuarial Journal 3 Sequential Analysis 3 Journal of Applied Statistical Science 2 Acta Mathematica Academiae Scientiarum Hungaricae 2 The Canadian Journal of Statistics 2 Canadian Mathematical Bulletin 2 Journal of Multivariate Analysis 2 Bulletin of Informatics and Cybernetics 2 Brazilian Journal of Probability and Statistics 1 Indian Journal of Pure & Applied Mathematics 1 Aplikace Matematiky 1 Boletín de la Sociedad Matemática Mexicana. Segunda Serie 1 IEEE Transactions on Computers 1 Proceedings of the American Mathematical Society 1 Pure & Applied Mathematika Sciences 1 Statistica Neerlandica 1 IAPQR Transactions 1 Statistics & Probability Letters 1 Statistics 1 Journal of Theoretical Probability 1 Communications in Statistics. Theory and Methods 1 Mathematical Methods of Statistics 1 Annals of Mathematical Statistics all top 5 Fields 39 Statistics (62-XX) 33 Probability theory and stochastic processes (60-XX) 2 General and overarching topics; collections (00-XX) 2 Approximations and expansions (41-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 33 Publications have been cited 19 times in 13 Documents Cited by ▼ Year ▼ On functional central limit theorem for stationary martingale random fields. Zbl 0431.60037 Basu, A. K.; Dorea, C. C. Y. 15 1979 On the rate of convergence to normality for sums of dependent random variables. Zbl 0349.60019 Basu, A. K. 7 1976 Sequential estimation of the autoregressive parameters in \(\text{AR}(p)\) model. Zbl 0879.62071 Basu, A. K.; Das, J. K. 7 1997 On the rate of approximation in the central limit theorem for dependent random variables and random vectors. Zbl 0452.60027 Basu, A. K. 6 1980 Berry-Esseen type theorems for sequential density estimation. Zbl 0673.62067 Basu, A. K.; Sahoo, D. K. 4 1989 Least squares, preliminary test and Stein-type estimation in general vector \(AR(p)\) models. Zbl 0957.62072 Ahmed, S. E.; Basu, A. K. 4 2000 On rates of convergence in the central limit theorem for parameter estimation in general autoregressive model. Zbl 0716.62087 Basu, A. K.; Roy, S. Sen 4 1990 Local asymptotic mixed normality of log-likelihood based on stopping times. Zbl 0677.62016 Basu, A. K.; Bhattacharya, Debasis 3 1988 On Berry-Esséen theorem for nonparametric density estimation in Markov sequences. Zbl 0921.62039 Basu, A. K.; Sahoo, D. K. 3 1998 Simplification of incompletely specified flow tables with the help of prime closed sets. Zbl 0183.45602 de Sarkar, S. C.; Basu, A. K.; Choudhury, A. K. 3 1969 Invariance theorems for first passage time random variables. Zbl 0245.60022 Basu, A. K. 3 1972 A note on Strassen’s version of the law of the iterated logarithm. Zbl 0245.60027 Basu, A. K. 3 1973 Introduction to stochastic process. Zbl 1072.60001 Basu, A. K. 3 2003 Uniform and nonuniform estimates in the CLT for Banach valued dependent random variables. Zbl 0681.60012 Basu, A. K. 2 1988 On the asymptotic non-null distribution of randomly stopped log- likelihood ratio statistic. Zbl 0769.62016 Basu, A. K.; Bhattacharya, Debasis 2 1992 Sequential estimation of the autoregressive parameters in general vector autoregressive model. Zbl 0981.62067 Basu, A. K.; Mukhopadhyay, Indranil 2 1999 Probability inequalities for sums of dependent random vectors and applications. Zbl 0591.60024 Basu, A. K. 2 1985 On asymptotic prediction problems for autoregressive models with explosive and other roots. Zbl 0715.62180 Basu, A. K.; Sen Roy, S. 2 1989 Weak convergence of randomly stopped log-likelihood ratio statistic to mixed Gaussian process. Zbl 0777.60021 Basu, A. K.; Bhattacharya, Debasis 2 1990 Asymptotic theory of estimation of parameters in autoregressive models under general set-up of the roots. Zbl 0799.62095 Basu, A. K.; Roy, S. Sen 2 1993 On some asymptotic results for multivariate autoregressive models with estimated parameters. Zbl 0632.62093 Basu, A. K.; Roy, S. Sen 1 1986 A functional central limit theorem for Banach space valued dependent variables and a log log law. Zbl 0643.60006 Basu, A. K. 1 1987 On decomposition of normal and Poisson law. Zbl 0531.62009 Basu, A. K.; Ahsanullah, M. 1 1983 On Darling-Robbins type confidence sequences and sequential tests with power one for parameters of an autoregressive process. Zbl 0962.62074 Basu, A. K.; Mukhopadhyay, Indranil 1 1999 Asymptotic minimax bounds for sequential estimators of parameters in a locally asymptotically quadratic family. Zbl 0982.62067 Basu, Adhir K.; Bhattacharya, Debasis 1 1999 A Bayesian approach to Kalman filter for elliptically contoured distribution and its application in time series models. Zbl 0925.62394 Basu, A. K.; Das, J. K. 1 1994 On the existenceof the optimal stopping rule in the \(S_ n/n\) problem when the second momentsis infinite. Zbl 0231.62097 Thompson, M. E.; Basu, A. K.; Owen, W. L. 1 1971 Speed of convergence in density estimation by delta sequence and estimation of mode. Zbl 0609.62056 Basu, A. K.; Sahoo, D. K. 1 1985 On asymptotic prediction problems for multivariate autoregressive models in the unstable nonexplosive case. Zbl 0715.62179 Basu, A. K.; Sen Roy, S. 1 1987 On estimation and asymptotic properties of the parameters of ARMA \((p,q)\) process in the stable case. Zbl 0760.62085 Basu, A. K.; Das, J. K. 1 1991 Optimality of the maximum likelihood estimator in AR(p) model under a general set-up of the roots. Zbl 0763.62044 Basu, A. K.; Das, J. K. 1 1992 On distinguishability of sets of distribution functions and non- parametric median problem. Zbl 0378.62040 Basu, A. K. 1 1974 Local asymptotic minimax risk bounds in a locally asymptotically mixture of normal experiments under asymmetric loss. Zbl 1268.62012 Bhattacharya, Debasis; Basu, A. K. 1 2006 Local asymptotic minimax risk bounds in a locally asymptotically mixture of normal experiments under asymmetric loss. Zbl 1268.62012 Bhattacharya, Debasis; Basu, A. K. 1 2006 Introduction to stochastic process. Zbl 1072.60001 Basu, A. K. 3 2003 Least squares, preliminary test and Stein-type estimation in general vector \(AR(p)\) models. Zbl 0957.62072 Ahmed, S. E.; Basu, A. K. 4 2000 Sequential estimation of the autoregressive parameters in general vector autoregressive model. Zbl 0981.62067 Basu, A. K.; Mukhopadhyay, Indranil 2 1999 On Darling-Robbins type confidence sequences and sequential tests with power one for parameters of an autoregressive process. Zbl 0962.62074 Basu, A. K.; Mukhopadhyay, Indranil 1 1999 Asymptotic minimax bounds for sequential estimators of parameters in a locally asymptotically quadratic family. Zbl 0982.62067 Basu, Adhir K.; Bhattacharya, Debasis 1 1999 On Berry-Esséen theorem for nonparametric density estimation in Markov sequences. Zbl 0921.62039 Basu, A. K.; Sahoo, D. K. 3 1998 Sequential estimation of the autoregressive parameters in \(\text{AR}(p)\) model. Zbl 0879.62071 Basu, A. K.; Das, J. K. 7 1997 A Bayesian approach to Kalman filter for elliptically contoured distribution and its application in time series models. Zbl 0925.62394 Basu, A. K.; Das, J. K. 1 1994 Asymptotic theory of estimation of parameters in autoregressive models under general set-up of the roots. Zbl 0799.62095 Basu, A. K.; Roy, S. Sen 2 1993 On the asymptotic non-null distribution of randomly stopped log- likelihood ratio statistic. Zbl 0769.62016 Basu, A. K.; Bhattacharya, Debasis 2 1992 Optimality of the maximum likelihood estimator in AR(p) model under a general set-up of the roots. Zbl 0763.62044 Basu, A. K.; Das, J. K. 1 1992 On estimation and asymptotic properties of the parameters of ARMA \((p,q)\) process in the stable case. Zbl 0760.62085 Basu, A. K.; Das, J. K. 1 1991 On rates of convergence in the central limit theorem for parameter estimation in general autoregressive model. Zbl 0716.62087 Basu, A. K.; Roy, S. Sen 4 1990 Weak convergence of randomly stopped log-likelihood ratio statistic to mixed Gaussian process. Zbl 0777.60021 Basu, A. K.; Bhattacharya, Debasis 2 1990 Berry-Esseen type theorems for sequential density estimation. Zbl 0673.62067 Basu, A. K.; Sahoo, D. K. 4 1989 On asymptotic prediction problems for autoregressive models with explosive and other roots. Zbl 0715.62180 Basu, A. K.; Sen Roy, S. 2 1989 Local asymptotic mixed normality of log-likelihood based on stopping times. Zbl 0677.62016 Basu, A. K.; Bhattacharya, Debasis 3 1988 Uniform and nonuniform estimates in the CLT for Banach valued dependent random variables. Zbl 0681.60012 Basu, A. K. 2 1988 A functional central limit theorem for Banach space valued dependent variables and a log log law. Zbl 0643.60006 Basu, A. K. 1 1987 On asymptotic prediction problems for multivariate autoregressive models in the unstable nonexplosive case. Zbl 0715.62179 Basu, A. K.; Sen Roy, S. 1 1987 On some asymptotic results for multivariate autoregressive models with estimated parameters. Zbl 0632.62093 Basu, A. K.; Roy, S. Sen 1 1986 Probability inequalities for sums of dependent random vectors and applications. Zbl 0591.60024 Basu, A. K. 2 1985 Speed of convergence in density estimation by delta sequence and estimation of mode. Zbl 0609.62056 Basu, A. K.; Sahoo, D. K. 1 1985 On decomposition of normal and Poisson law. Zbl 0531.62009 Basu, A. K.; Ahsanullah, M. 1 1983 On the rate of approximation in the central limit theorem for dependent random variables and random vectors. Zbl 0452.60027 Basu, A. K. 6 1980 On functional central limit theorem for stationary martingale random fields. Zbl 0431.60037 Basu, A. K.; Dorea, C. C. Y. 15 1979 On the rate of convergence to normality for sums of dependent random variables. Zbl 0349.60019 Basu, A. K. 7 1976 On distinguishability of sets of distribution functions and non- parametric median problem. Zbl 0378.62040 Basu, A. K. 1 1974 A note on Strassen’s version of the law of the iterated logarithm. Zbl 0245.60027 Basu, A. K. 3 1973 Invariance theorems for first passage time random variables. Zbl 0245.60022 Basu, A. K. 3 1972 On the existenceof the optimal stopping rule in the \(S_ n/n\) problem when the second momentsis infinite. Zbl 0231.62097 Thompson, M. E.; Basu, A. K.; Owen, W. L. 1 1971 Simplification of incompletely specified flow tables with the help of prime closed sets. Zbl 0183.45602 de Sarkar, S. C.; Basu, A. K.; Choudhury, A. K. 3 1969 all cited Publications top 5 cited Publications all top 5 Cited by 17 Authors 2 Bhattacharya, Debasis 2 Roussas, George Gregory 1 Bhattacharya, Sankha 1 Butzer, Paul Leo 1 Derbort, Stephan 1 Dette, Holger 1 Glendinning, Richard H. 1 Hahn, Lothar 1 Karmakar, Bikram 1 Luschgy, Harald 1 Mukhopadhyay, Indranil 1 Prášková, Zuzana 1 Roeckerath, Marie-Theres 1 Roy, Sugata Sen 1 Son, Ta Cong 1 Van Dung, Le 1 Vaněček, Pavel all top 5 Cited in 9 Serials 3 Journal of Multivariate Analysis 2 Kybernetika 1 The Canadian Journal of Statistics 1 Aplikace Matematiky 1 Statistics & Probability Letters 1 Journal of Time Series Analysis 1 Communications in Statistics. Theory and Methods 1 Stochastic Processes and their Applications 1 Statistical Inference for Stochastic Processes Cited in 5 Fields 9 Probability theory and stochastic processes (60-XX) 8 Statistics (62-XX) 2 Approximations and expansions (41-XX) 1 Real functions (26-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year