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
Iuliano, Antonella; Macci, Claudio Asymptotic results for the absorption time of telegraph processes with a non-standard barrier at the origin. (English) Zbl 1518.60038 Stat. Probab. Lett. 196, Article ID 109800, 12 p. (2023). Reviewer: Rózsa Horváth-Bokor (Budakalász) MSC: 60F10 60J25 60K15 PDFBibTeX XMLCite \textit{A. Iuliano} and \textit{C. Macci}, Stat. Probab. Lett. 196, Article ID 109800, 12 p. (2023; Zbl 1518.60038) Full Text: DOI arXiv
Martinucci, Barbara; Meoli, Alessandra; Zacks, Shelemyahu Some results on the telegraph process driven by gamma components. (English) Zbl 1499.60312 Adv. Appl. Probab. 54, No. 3, 808-848 (2022). MSC: 60K15 60K99 PDFBibTeX XMLCite \textit{B. Martinucci} et al., Adv. Appl. Probab. 54, No. 3, 808--848 (2022; Zbl 1499.60312) Full Text: DOI
Lefèvre, Claude; Tamturk, Muhsin More for less insurance model: an alternative to (re)insurance. (English) Zbl 1498.91364 J. Stat. Theory Pract. 16, No. 4, Paper No. 64, 19 p. (2022). MSC: 91G05 62P05 PDFBibTeX XMLCite \textit{C. Lefèvre} and \textit{M. Tamturk}, J. Stat. Theory Pract. 16, No. 4, Paper No. 64, 19 p. (2022; Zbl 1498.91364) 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
Jacobovic, Royi Regulation of a single-server queue with customers who dynamically choose their service durations. (English) Zbl 1502.60137 Queueing Syst. 101, No. 3-4, 245-290 (2022). MSC: 60K25 90B22 90C15 PDFBibTeX XMLCite \textit{R. Jacobovic}, Queueing Syst. 101, No. 3--4, 245--290 (2022; Zbl 1502.60137) Full Text: DOI arXiv
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
Ratanov, Nikita On telegraph processes, their first passage times and running extrema. (English) Zbl 1482.60128 Stat. Probab. Lett. 174, Article ID 109101, 8 p. (2021). MSC: 60K99 60J27 PDFBibTeX XMLCite \textit{N. Ratanov}, Stat. Probab. Lett. 174, Article ID 109101, 8 p. (2021; Zbl 1482.60128) Full Text: DOI arXiv
Ratanov, Nikita Ornstein-Uhlenbeck processes of bounded variation. (English) Zbl 1476.60146 Methodol. Comput. Appl. Probab. 23, No. 3, 925-946 (2021). MSC: 60J74 60J27 60K99 PDFBibTeX XMLCite \textit{N. Ratanov}, Methodol. Comput. Appl. Probab. 23, No. 3, 925--946 (2021; Zbl 1476.60146) Full Text: DOI arXiv
Di Crescenzo, Antonio; Martinucci, Barbara; Paraggio, Paola; Zacks, Shelemyahu Some results on the telegraph process confined by two non-standard boundaries. (English) Zbl 1480.60275 Methodol. Comput. Appl. Probab. 23, No. 3, 837-858 (2021). MSC: 60K15 60J25 PDFBibTeX XMLCite \textit{A. Di Crescenzo} et al., Methodol. Comput. Appl. Probab. 23, No. 3, 837--858 (2021; Zbl 1480.60275) Full Text: DOI arXiv
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
Cinque, Fabrizio; Orsingher, Enzo On the exact distributions of the maximum of the asymmetric telegraph process. (English) Zbl 1479.60206 Stochastic Processes Appl. 142, 601-633 (2021). MSC: 60K99 60K50 PDFBibTeX XMLCite \textit{F. Cinque} and \textit{E. Orsingher}, Stochastic Processes Appl. 142, 601--633 (2021; Zbl 1479.60206) Full Text: DOI arXiv
Patra, Swayamshree; Chowdhury, Debashish Level crossing statistics in a biologically motivated model of a long dynamic protrusion: passage times, random and extreme excursions. (English) Zbl 07400665 J. Stat. Mech. Theory Exp. 2021, No. 8, Article ID 083207, 36 p. (2021). MSC: 82-XX PDFBibTeX XMLCite \textit{S. Patra} and \textit{D. Chowdhury}, J. Stat. Mech. Theory Exp. 2021, No. 8, Article ID 083207, 36 p. (2021; Zbl 07400665) Full Text: DOI arXiv
Chaturvedi, Ajit; Bapat, Sudeep R.; Joshi, Neeraj Two-stage and sequential procedures for estimation of powers of parameter of a family of distributions. (English) Zbl 1473.62277 Sequential Anal. 40, No. 2, 170-197 (2021). MSC: 62L10 62F25 62F10 PDFBibTeX XMLCite \textit{A. Chaturvedi} et al., Sequential Anal. 40, No. 2, 170--197 (2021; Zbl 1473.62277) 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; 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
Ratanov, Nikita First crossing times of telegraph processes with jumps. (English) Zbl 1437.60052 Methodol. Comput. Appl. Probab. 22, No. 1, 349-370 (2020). MSC: 60J74 60J27 60K99 PDFBibTeX XMLCite \textit{N. Ratanov}, Methodol. Comput. Appl. Probab. 22, No. 1, 349--370 (2020; Zbl 1437.60052) Full Text: DOI
Martinucci, Barbara; Meoli, Alessandra Certain functionals of squared telegraph processes. (English) Zbl 1434.60257 Stoch. Dyn. 20, No. 1, Article ID 2050005, 31 p. (2020). MSC: 60K15 53C35 60G50 PDFBibTeX XMLCite \textit{B. Martinucci} and \textit{A. Meoli}, Stoch. Dyn. 20, No. 1, Article ID 2050005, 31 p. (2020; Zbl 1434.60257) Full Text: DOI
Ratanov, Nikita A two-state neuronal model with alternating exponential excitation. (English) Zbl 1497.92042 Math. Biosci. Eng. 16, No. 5, 3411-3434 (2019). MSC: 92C20 PDFBibTeX XMLCite \textit{N. Ratanov}, Math. Biosci. Eng. 16, No. 5, 3411--3434 (2019; Zbl 1497.92042) 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
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
De, Shyamal K.; Mukhopadhyay, Nitis Two-stage fixed-width and bounded-width confidence interval estimation methodologies for the common correlation in an equi-correlated multivariate normal distribution. (English) Zbl 1416.60053 Sequential Anal. 38, No. 2, 214-258 (2019). MSC: 60G51 60K15 60K40 PDFBibTeX XMLCite \textit{S. K. De} and \textit{N. Mukhopadhyay}, Sequential Anal. 38, No. 2, 214--258 (2019; Zbl 1416.60053) 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; Hu, Jun Two-stage estimation for a normal mean having a known lower bound of variance with final sample size defined via Gini’s mean difference and mean absolute deviation. (English) Zbl 1403.62146 Sequential Anal. 37, No. 2, 204-221 (2018). MSC: 62L12 62L10 62F25 PDFBibTeX XMLCite \textit{N. Mukhopadhyay} and \textit{J. Hu}, Sequential Anal. 37, No. 2, 204--221 (2018; Zbl 1403.62146) Full Text: DOI
Mukhopadhyay, Nitis; Chaturvedi, Ajit; Malhotra, Ananya Two-stage procedures for the bounded risk point estimation of the parameter and hazard rate in two families of distributions. (English) Zbl 1478.62230 Sequential Anal. 37, No. 1, 69-89 (2018). MSC: 62L12 62L15 62E15 62F10 PDFBibTeX XMLCite \textit{N. Mukhopadhyay} et al., Sequential Anal. 37, No. 1, 69--89 (2018; Zbl 1478.62230) Full Text: DOI Link