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Sequential Analysis
Design Methods and Applications
Volume 33, 2014 - Issue 2
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Original Articles

Purely Sequential and Two-Stage Fixed-Accuracy Confidence Interval Estimation Methods for Count Data from Negative Binomial Distributions in Statistical Ecology: One-Sample and Two-Sample Problems

Nitis Mukhopadhyay Department of Statistics, University of Connecticut, Storrs, Connecticut, USACorrespondence[email protected]
&
Swarnali Banerjee Department of Statistics, University of Connecticut, Storrs, Connecticut, USA
Pages 251-285 | Received 08 Aug 2013, Accepted 01 Dec 2013, Published online: 09 May 2014

Citations (22)

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Read on this site (11)

Pritam Sarkar & Uttam Bandyopadhyay. (2021) On sequential confidence interval in a stationary Gaussian process. Sequential Analysis 40:4, pages 542-553.
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Tony Yaacoub, David Goldsman, Yajun Mei & George V. Moustakides. (2019) Tandem-width sequential confidence intervals for a Bernoulli proportion. Sequential Analysis 38:2, pages 163-183.
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Shyamal K. De & Nitis Mukhopadhyay. (2019) Two-stage fixed-width and bounded-width confidence interval estimation methodologies for the common correlation in an equi-correlated multivariate normal distribution. Sequential Analysis 38:2, pages 214-258.
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Pritam Sarkar & Uttam Bandyopadhyay. (2019) Fixed accuracy confidence interval on the common variance in compound symmetric multivariate normal sampling. Sequential Analysis 38:1, pages 46-56.
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Sudeep R. Bapat. (2018) Purely Sequential Fixed Accuracy Confidence Intervals for ( < ) under Bivariate Exponential Models. American Journal of Mathematical and Management Sciences 37:4, pages 386-400.
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Yaakov Malinovsky & Shelemyahu Zacks. (2018) Proportional closeness estimation of probability of contamination under group testing. Sequential Analysis 37:2, pages 145-157.
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Nitis Mukhopadhyay & Sudeep R. Bapat. (2017) Purely sequential bounded-risk point estimation of the negative binomial means under various loss functions: Multi-sample problems. Sequential Analysis 36:4, pages 490-512.
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Uttam Bandyopadhyay, Suman Sarkar & Atanu Biswas. (2017) Fixed-width confidence interval of log odds ratio for joint binomial and inverse binomial sampling. Sequential Analysis 36:3, pages 345-354.
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Nitis Mukhopadhyay & Yan Zhuang. (2016) On fixed-accuracy and bounded accuracy confidence interval estimation problems in Fisher’s “Nile” example. Sequential Analysis 35:4, pages 516-535.
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T. N. Sriram & S. Yaser Samadi. (2016) A robust sequential fixed-width confidence interval for count data based on Bhattacharyya-Hellinger distance estimator. Sequential Analysis 35:1, pages 84-107.
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Shyamal K. De & Nitis Mukhopadhyay. (2015) Fixed Accuracy Interval Estimation of the Common Variance in an Equi-Correlated Normal Distribution. Sequential Analysis 34:3, pages 364-386.
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Articles from other publishers (11)

Uttam Bandyopadhyay, Suman Sarkar & Atanu Biswas. (2022) Sequential confidence interval for comparing two Bernoulli distributions in a non-conventional set-up. Statistics & Probability Letters 181, pages 109263.
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Jun Hu, Yan Zhuang & Clara Goldiner. (2021) Fixed-accuracy confidence interval estimation of $$\varvec{P(X<Y)}$$ under a geometric–exponential model. Japanese Journal of Statistics and Data Science 4:2, pages 1079-1104.
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Bhargab Chattopadhyay & Swarnali Banerjee. (2021) Estimation of location parameter within pre-specified error bound with second-order efficient two-stage procedure. South African Statistical Journal 55:1, pages 45-54.
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Ashkan Khalifeh, Eisa Mahmoudi & Ajit Chaturvedi. (2020) Sequential fixed-accuracy confidence intervals for the stress–strength reliability parameter for the exponential distribution: two-stage sampling procedure. Computational Statistics 35:4, pages 1553-1575.
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Yan Zhuang, Jun Hu & Yixuan Zou. (2020) Fixed-accuracy confidence interval estimation of P ( X > c) for a two-parameter gamma population . Communications for Statistical Applications and Methods 27:6, pages 625-639.
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Sudeep R. Bapat. (2018) On purely sequential estimation of an inverse Gaussian mean. Metrika 81:8, pages 1005-1024.
Crossref
Nitis Mukhopadhyay & Sudeep R. Bapat. (2017) Purely sequential bounded-risk point estimation of the negative binomial mean under various loss functions: one-sample problem. Annals of the Institute of Statistical Mathematics 70:5, pages 1049-1075.
Crossref
Nitis Mukhopadhyay & Yan Zhuang. (2017) Purely Sequential and Two-Stage Bounded-Length Confidence Interval Estimation Problems in Fisher’s “Nile” Example. JOURNAL OF THE JAPAN STATISTICAL SOCIETY 47:2, pages 237-271.
Crossref
Swarnali Banerjee & Nitis Mukhopadhyay. (2015) A general sequential fixed-accuracy confidence interval estimation methodology for a positive parameter: illustrations using health and safety data. Annals of the Institute of Statistical Mathematics 68:3, pages 541-570.
Crossref
Nitis Mukhopadhyay & Swarnali Banerjee. (2015) Sequential negative binomial problems and statistical ecology: A selected review with new directions. Statistical Methodology 26, pages 34-60.
Crossref
Nitis Mukhopadhyay & Swarnali Banerjee. 2015. Ordered Data Analysis, Modeling and Health Research Methods. Ordered Data Analysis, Modeling and Health Research Methods 211 234 .

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