Mukhopadhyay, Nitis; Banerjee, Soumik A general theory of three-stage estimation strategy with second-order asymptotics and its applications. (English) Zbl 07730303 Sankhyā, Ser. A 85, No. 1, 401-440 (2023). MSC: 62L12 62L05 62L10 PDFBibTeX XMLCite \textit{N. Mukhopadhyay} and \textit{S. Banerjee}, Sankhyā, Ser. A 85, No. 1, 401--440 (2023; Zbl 07730303) Full Text: DOI
Mukhopadhyay, Nitis; Zhang, Boyi Theory of new second-order expansions for the moments of \({100\rho \%}\) accelerated sequential stopping times in normal mean estimation problems when \({0<\rho <1}\) is arbitrary. (English) Zbl 1517.62075 Jpn. J. Stat. Data Sci. 6, No. 1, 57-101 (2023). MSC: 62L12 62L05 62L10 PDFBibTeX XMLCite \textit{N. Mukhopadhyay} and \textit{B. Zhang}, Jpn. J. Stat. Data Sci. 6, No. 1, 57--101 (2023; Zbl 1517.62075) Full Text: DOI
Bishnoi, Srawan Kumar; Mukhopadhyay, Nitis An optimal purely sequential strategy with asymptotic second-order properties: applications from statistical inference and data analysis. (English) Zbl 07596761 Sequential Anal. 41, No. 3, 325-366 (2022). MSC: 62L10 62L05 62L12 62F25 PDFBibTeX XMLCite \textit{S. K. Bishnoi} and \textit{N. Mukhopadhyay}, Sequential Anal. 41, No. 3, 325--366 (2022; Zbl 07596761) Full Text: DOI
Mukhopadhyay, Nitis; Li, Jing Purely sequential minimum risk point estimation (MRPE) for a survival function in an exponential distribution: illustration with remission times for bladder cancer patients. (English) Zbl 1495.62061 J. Stat. Theory Pract. 16, No. 3, Paper No. 50, 29 p. (2022). MSC: 62L12 62L10 62P10 PDFBibTeX XMLCite \textit{N. Mukhopadhyay} and \textit{J. Li}, J. Stat. Theory Pract. 16, No. 3, Paper No. 50, 29 p. (2022; Zbl 1495.62061) Full Text: DOI
Mukhopadhyay, Nitis; Venkatesan, Swathi A new formulation of minimum risk fixed-width confidence interval (MRFWCI) estimation problems for a normal mean with illustrations and simulations: applications to air quality data. (English) Zbl 1493.62478 Sequential Anal. 41, No. 2, 241-274 (2022). MSC: 62L05 62L10 62L12 PDFBibTeX XMLCite \textit{N. Mukhopadhyay} and \textit{S. Venkatesan}, Sequential Anal. 41, No. 2, 241--274 (2022; Zbl 1493.62478) Full Text: DOI
Mukhopadhyay, Nitis; Bishnoi, Srawan Kumar An unusual application of Cramér-Rao inequality to prove the attainable lower bound for a ratio of complicated gamma functions. (English) Zbl 1498.60079 Methodol. Comput. Appl. Probab. 23, No. 4, 1507-1517 (2021). MSC: 60E15 33B15 60F05 60G40 PDFBibTeX XMLCite \textit{N. Mukhopadhyay} and \textit{S. K. Bishnoi}, Methodol. Comput. Appl. Probab. 23, No. 4, 1507--1517 (2021; Zbl 1498.60079) Full Text: DOI
Banerjee, Soumik; Mukhopadhyay, Nitis Minimum risk point estimation for a function of a normal mean under weighted power absolute error loss plus cost: first-order and second-order asymptotics. (English) Zbl 1479.62063 Sequential Anal. 40, No. 3, 336-369 (2021). MSC: 62L12 62L10 62L05 PDFBibTeX XMLCite \textit{S. Banerjee} and \textit{N. Mukhopadhyay}, Sequential Anal. 40, No. 3, 336--369 (2021; Zbl 1479.62063) Full Text: DOI
Mukhopadhyay, Nitis Purely sequential point estimation of a function of the mean in an exponential distribution. (English) Zbl 1473.62285 J. Stat. Theory Pract. 15, No. 3, Paper No. 56, 21 p. (2021). MSC: 62L12 62L10 62L05 PDFBibTeX XMLCite \textit{N. Mukhopadhyay}, J. Stat. Theory Pract. 15, No. 3, Paper No. 56, 21 p. (2021; Zbl 1473.62285) Full Text: DOI
Mukhopadhyay, Nitis; Wang, Zhe Purely sequential estimation problems for the mean of a normal population by sampling in groups under permutations within each group and illustrations. (English) Zbl 1461.62142 Sequential Anal. 39, No. 4, 484-519 (2020). MSC: 62L12 62L10 62N02 62P30 62P12 PDFBibTeX XMLCite \textit{N. Mukhopadhyay} and \textit{Z. Wang}, Sequential Anal. 39, No. 4, 484--519 (2020; Zbl 1461.62142) Full Text: DOI
Mukhopadhyay, Nitis; Khariton, Yakov Minimum risk point estimation (MRPE) of the mean in an exponential distribution under powered absolute error loss (PAEL) due to estimation plus cost of sampling. (English) Zbl 1466.62380 Sequential Anal. 39, No. 2, 241-268 (2020). Reviewer: Rasul A. Khan (Solon) MSC: 62L12 62L10 62N05 62P10 PDFBibTeX XMLCite \textit{N. Mukhopadhyay} and \textit{Y. Khariton}, Sequential Anal. 39, No. 2, 241--268 (2020; Zbl 1466.62380) Full Text: DOI
Mukhopadhyay, Nitis; Wang, Zhe Purely sequential FWCI and MRPE problems for the mean of a normal population by sampling in groups with illustrations using breast cancer data. (English) Zbl 1472.62130 Sequential Anal. 39, No. 2, 176-213 (2020). Reviewer: Krzysztof J. Szajowski (Wrocław) MSC: 62L10 62L12 62N02 62G15 62P10 PDFBibTeX XMLCite \textit{N. Mukhopadhyay} and \textit{Z. Wang}, Sequential Anal. 39, No. 2, 176--213 (2020; Zbl 1472.62130) Full Text: DOI
Mukhopadhyay, Nitis; Bishnoi, Srawan Kumar On general asymptotically second-order efficient purely sequential fixed-width confidence interval (FWCI) and minimum risk point estimation (MRPE) strategies for a normal mean and optimality. (English) Zbl 1458.62182 Metron 78, No. 3, 383-409 (2020). MSC: 62L12 62F25 62P10 PDFBibTeX XMLCite \textit{N. Mukhopadhyay} and \textit{S. K. Bishnoi}, Metron 78, No. 3, 383--409 (2020; Zbl 1458.62182) Full Text: DOI
Mukhopadhyay, Nitis; Wang, Zhe A general theory of purely sequential minimum risk point estimation (MRPE) of a function of the mean in a normal distribution. (English) Zbl 1430.62182 Sequential Anal. 38, No. 4, 480-502 (2019). MSC: 62L12 62L10 62L05 PDFBibTeX XMLCite \textit{N. Mukhopadhyay} and \textit{Z. Wang}, Sequential Anal. 38, No. 4, 480--502 (2019; Zbl 1430.62182) Full Text: DOI
Mukhopadhyay, Nitis; Banerjee, Soumik Sequential minimum risk point estimation (MRPE) methodology for a normal mean under linex loss plus sampling cost: first-order and second-order asymptotics. (English) Zbl 1430.62181 Sequential Anal. 38, No. 4, 461-479 (2019). MSC: 62L12 62L10 62L05 PDFBibTeX XMLCite \textit{N. Mukhopadhyay} and \textit{S. Banerjee}, Sequential Anal. 38, No. 4, 461--479 (2019; Zbl 1430.62181) Full Text: DOI
Hu, Jun; Mukhopadhyay, Nitis Second-order asymptotics in a class of purely sequential minimum risk point estimation (MRPE) methodologies. (English) Zbl 1430.62179 Jpn. J. Stat. Data Sci. 2, No. 1, 81-104 (2019). MSC: 62L10 62L12 62G05 62G20 PDFBibTeX XMLCite \textit{J. Hu} and \textit{N. Mukhopadhyay}, Jpn. J. Stat. Data Sci. 2, No. 1, 81--104 (2019; Zbl 1430.62179) Full Text: DOI
Mukhopadhyay, Nitis; Zacks, Shelemyahu Modified Linex two-stage and purely sequential estimation of the variance in a normal distribution with illustrations using horticultural data. (English) Zbl 1425.62120 J. Stat. Theory Pract. 12, No. 1, 111-135 (2018). MSC: 62L12 62L05 62G20 62P10 60G40 62P20 PDFBibTeX XMLCite \textit{N. Mukhopadhyay} and \textit{S. Zacks}, J. Stat. Theory Pract. 12, No. 1, 111--135 (2018; Zbl 1425.62120) Full Text: DOI
Mukhopadhyay, Nitis; Zhang, Chen EDA on the asymptotic normality of the standardized sequential stopping times. I: Parametric models. (English) Zbl 1421.62114 Sequential Anal. 37, No. 3, 342-374 (2018). Reviewer: Alex V. Kolnogorov (Novgorod) MSC: 62L12 62L10 62E17 62L15 62F12 62P10 62F25 PDFBibTeX XMLCite \textit{N. Mukhopadhyay} and \textit{C. Zhang}, Sequential Anal. 37, No. 3, 342--374 (2018; Zbl 1421.62114) Full Text: DOI
Mukhopadhyay, Nitis; Bapat, Sudeep R. Purely sequential bounded-risk point estimation of the negative binomial mean under various loss functions: one-sample problem. (English) Zbl 1406.62089 Ann. Inst. Stat. Math. 70, No. 5, 1049-1075 (2018). Reviewer: Krzysztof J. Szajowski (Wrocław) MSC: 62L12 62L10 62P12 PDFBibTeX XMLCite \textit{N. Mukhopadhyay} and \textit{S. R. Bapat}, Ann. Inst. Stat. Math. 70, No. 5, 1049--1075 (2018; Zbl 1406.62089) Full Text: DOI
Mukhopadhyay, Nitis; Zhuang, Yan Purely sequential and two-stage bounded-length confidence interval estimation problems in Fisher’s “Nile” example. (English) Zbl 1395.62252 J. Jpn. Stat. Soc. 47, No. 2, 237-271 (2017). MSC: 62L12 62F25 62F12 PDFBibTeX XMLCite \textit{N. Mukhopadhyay} and \textit{Y. Zhuang}, J. Jpn. Stat. Soc. 47, No. 2, 237--271 (2017; Zbl 1395.62252) Full Text: DOI
Mukhopadhyay, Nitis; Bapat, Sudeep R. Multistage estimation of the difference of locations of two negative exponential populations under a modified Linex loss function: real data illustrations from cancer studies and reliability analysis. (English) Zbl 1351.62184 Sequential Anal. 35, No. 3, 387-412 (2016). MSC: 62P10 62L12 62L05 62G20 62F10 PDFBibTeX XMLCite \textit{N. Mukhopadhyay} and \textit{S. R. Bapat}, Sequential Anal. 35, No. 3, 387--412 (2016; Zbl 1351.62184) Full Text: DOI
Mukhopadhyay, Nitis; Bapat, Sudeep R. Multistage point estimation methodologies for a negative exponential location under a modified linex loss function: illustrations with infant mortality and bone marrow data. (English) Zbl 1345.62114 Sequential Anal. 35, No. 2, 175-206 (2016). MSC: 62L12 62L05 62G20 62F10 62P10 62P30 PDFBibTeX XMLCite \textit{N. Mukhopadhyay} and \textit{S. R. Bapat}, Sequential Anal. 35, No. 2, 175--206 (2016; Zbl 1345.62114) Full Text: DOI
Mukhopadhyay, Nitis; Pepe, William Plug-in two-stage and sequential normal density estimation under MISE loss: both mean and variance are unknown. (English) Zbl 1319.62181 Sequential Anal. 33, No. 2, 205-230 (2014). MSC: 62L12 62F10 62F35 PDFBibTeX XMLCite \textit{N. Mukhopadhyay} and \textit{W. Pepe}, Sequential Anal. 33, No. 2, 205--230 (2014; Zbl 1319.62181) Full Text: DOI
Mukhopadhyay, Nitis; Poruthotage, Sankha Muthu Sequential fixed-width confidence interval procedures for the mean under multiple boundary crossings. (English) Zbl 1271.62187 Sequential Anal. 32, No. 1, 83-109 (2013). MSC: 62L12 62L10 60G40 PDFBibTeX XMLCite \textit{N. Mukhopadhyay} and \textit{S. M. Poruthotage}, Sequential Anal. 32, No. 1, 83--109 (2013; Zbl 1271.62187) Full Text: DOI
Bhattacharjee, Debanjan; Mukhopadhyay, Nitis On SPRT and RSPRT for the unknown mean in a normal distribution with equal mean and variance. (English) Zbl 1270.62113 Sequential Anal. 31, No. 1, 108-134 (2012). MSC: 62L10 62L12 PDFBibTeX XMLCite \textit{D. Bhattacharjee} and \textit{N. Mukhopadhyay}, Sequential Anal. 31, No. 1, 108--134 (2012; Zbl 1270.62113) Full Text: DOI
Harel, Ofer; Mukhopadhyay, Nitis; Yan, Jun On a sequential probability ratio test subject to incomplete data. (English) Zbl 1228.62099 Sequential Anal. 30, No. 4, 441-456 (2011). MSC: 62L10 65C60 62F03 PDFBibTeX XMLCite \textit{O. Harel} et al., Sequential Anal. 30, No. 4, 441--456 (2011; Zbl 1228.62099) Full Text: DOI
Zacks, Shelemyahu; Mukhopadhyay, Nitis On exact and asymptotic properties of two-stage and sequential estimation of the normal mean under LINEX loss. (English) Zbl 1175.62086 Commun. Stat., Theory Methods 38, No. 16-17, 2992-3014 (2009). MSC: 62L12 62F12 62E15 62L15 PDFBibTeX XMLCite \textit{S. Zacks} and \textit{N. Mukhopadhyay}, Commun. Stat., Theory Methods 38, No. 16--17, 2992--3014 (2009; Zbl 1175.62086) Full Text: DOI
Mukhopadhyay, Nitis; Pepe, William Plug-in two-stage normal density estimation under MISE loss: Unknown variance. (English) Zbl 1162.62082 Sequential Anal. 28, No. 2, 251-280 (2009). MSC: 62L12 62G07 65C60 62G99 62F12 PDFBibTeX XMLCite \textit{N. Mukhopadhyay} and \textit{W. Pepe}, Sequential Anal. 28, No. 2, 251--280 (2009; Zbl 1162.62082) Full Text: DOI Link
Mukhopadhyay, Nitis; De Silva, Basil M. Theory and applications of a new methodology for the random sequential probability ratio test. (English) Zbl 1248.90043 Stat. Methodol. 5, No. 5, 424-453 (2008). MSC: 90B25 62L10 62P30 PDFBibTeX XMLCite \textit{N. Mukhopadhyay} and \textit{B. M. De Silva}, Stat. Methodol. 5, No. 5, 424--453 (2008; Zbl 1248.90043) Full Text: DOI
Mukhopadhyay, Nitis; Cicconetti, Greg Applications of sequentially estimating the mean in a normal distribution having equal mean and variance. (English) Zbl 1054.62095 Sequential Anal. 23, No. 4, 625-665 (2004). MSC: 62L12 62F10 PDFBibTeX XMLCite \textit{N. Mukhopadhyay} and \textit{G. Cicconetti}, Sequential Anal. 23, No. 4, 625--665 (2004; Zbl 1054.62095) Full Text: DOI
Aoshima, Makoto; Mukhopadhyay, Nitis Two-stage estimation of a linear function of normal means with second-order approximations. (English) Zbl 1031.62063 Sequential Anal. 21, No. 3, 109-144 (2002). MSC: 62L12 62F25 PDFBibTeX XMLCite \textit{M. Aoshima} and \textit{N. Mukhopadhyay}, Sequential Anal. 21, No. 3, 109--144 (2002; Zbl 1031.62063) Full Text: DOI
Mukhopadhyay, Nitis; de Silva, Basil M. Multistage partial piecewise sampling and its applications. (English) Zbl 0897.62091 Sequential Anal. 17, No. 1, 63-90 (1998). MSC: 62L12 PDFBibTeX XMLCite \textit{N. Mukhopadhyay} and \textit{B. M. de Silva}, Sequential Anal. 17, No. 1, 63--90 (1998; Zbl 0897.62091) Full Text: DOI
Mukhopadhyay, Nitis; Padmanabhan, A. R.; Solanky, T. K. S. On estimating the reliability after sequentially estimating the mean: The exponential case. (English) Zbl 0879.62073 Metrika 45, No. 3, 235-252 (1997). MSC: 62L12 62N05 PDFBibTeX XMLCite \textit{N. Mukhopadhyay} et al., Metrika 45, No. 3, 235--252 (1997; Zbl 0879.62073) Full Text: DOI EuDML
Mukhopadhyay, N.; Solanky, T. K. S. Estimation after sequential selection and ranking. (English) Zbl 0877.62076 Metrika 45, No. 2, 95-106 (1997). MSC: 62L10 62F07 62L12 62F12 PDFBibTeX XMLCite \textit{N. Mukhopadhyay} and \textit{T. K. S. Solanky}, Metrika 45, No. 2, 95--106 (1997; Zbl 0877.62076) Full Text: DOI EuDML
Mukhopadhyay, N. An alternative formulation of accelerated sequential procedures with applications to parametric and nonparametric estimation. (English) Zbl 0876.62070 Sequential Anal. 15, No. 4, 253-269 (1996). MSC: 62L12 62L15 62G05 PDFBibTeX XMLCite \textit{N. Mukhopadhyay}, Sequential Anal. 15, No. 4, 253--269 (1996; Zbl 0876.62070) Full Text: DOI
Bose, Arup; Mukhopadhyay, Nitis Sequential interval estimation via replicated piecewise stopping times and accelerated stopping times in a class of two-parameter exponential family of distributions. (English) Zbl 0847.62072 Sequential Anal. 14, No. 4, 287-305 (1995). MSC: 62L12 62E20 PDFBibTeX XMLCite \textit{A. Bose} and \textit{N. Mukhopadhyay}, Sequential Anal. 14, No. 4, 287--305 (1995; Zbl 0847.62072) Full Text: DOI
Mukhopadhyay, N. Second-order approximations in the time-sequential point estimation methodologies for the mean of an exponential distribution. (English) Zbl 0833.62074 Sequential Anal. 14, No. 2, 133-142 (1995). MSC: 62L12 PDFBibTeX XMLCite \textit{N. Mukhopadhyay}, Sequential Anal. 14, No. 2, 133--142 (1995; Zbl 0833.62074) Full Text: DOI
Mukhopadhyay, Nitis; Sen, Pranab K. Replicated piecewise stopping numbers and sequential analysis. (English) Zbl 0776.62063 Sequential Anal. 12, No. 2, 179-197 (1993). Reviewer: P.W.Jones (Keele) MSC: 62L12 62L10 PDFBibTeX XMLCite \textit{N. Mukhopadhyay} and \textit{P. K. Sen}, Sequential Anal. 12, No. 2, 179--197 (1993; Zbl 0776.62063) Full Text: DOI
Mukhopadhyay, N.; Solanky, T. K. S. Second order properties of accelerated stopping times with applications in sequential estimation. (English) Zbl 0734.62085 Sequential Anal. 10, No. 1-2, 99-123 (1991). Reviewer: V.Mammitzsch (Marburg) MSC: 62L15 62L12 62F25 PDFBibTeX XMLCite \textit{N. Mukhopadhyay} and \textit{T. K. S. Solanky}, Sequential Anal. 10, No. 1--2, 99--123 (1991; Zbl 0734.62085) Full Text: DOI