Purely sequential bounded-risk point estimation of the negative binomial means under various loss functions: Multi-sample problems

DOI10.1080/07474946.2017.1394708zbMath1489.62260OpenAlexW2793475937MaRDI QIDQ4603857

Sudeep R. Bapat, Nitis Mukhopadhyay

Publication date: 19 February 2018

Published in: Sequential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07474946.2017.1394708

zbMATH Keywords

squared error losssimulationsstatistical ecologyCV approachfirst-order asymptotic efficiencyfirst-order asymptotic risk efficiencycustomary linex lossRaptor count data

Mathematics Subject Classification ID

Applications of statistics to environmental and related topics (62P12) Ecology (92D40) Sequential statistical design (62L05) Sequential estimation (62L12)

Related Items (6)

Identifiability and estimation of two-sample data with nonignorable missing response ⋮ A novel sequential approach to estimate functions of parameters of two gamma populations ⋮ Purely sequential bounded-risk point estimation of the negative binomial means under various loss functions: Multi-sample problems ⋮ Sequential minimum risk point estimation (MRPE) methodology for a normal mean under Linex loss plus sampling cost: First-order and second-order asymptotics ⋮ 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 ⋮ On a class of purely sequential procedures with applications to estimation and ranking and selection problems

Uses Software

• R

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A general sequential fixed-accuracy confidence interval estimation methodology for a positive parameter: illustrations using health and safety data
• Sequential point estimation of the difference of two normal means
• A consistent and asymptotically efficient two-stage procedure to construct fixed width confidence intervals for the mean
• A fixed sample size selection procedure for negative binomial populations
• Remarks on sequential estimation of a linear function of two means: the normal case
• Sequential negative binomial problems and statistical ecology: a selected review with new directions
• The ergodic theorem
• Multistage point estimation methodologies for a negative exponential location under a modified linex loss function: Illustrations with infant mortality and bone marrow data
• 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
• Sequential estimation of a linear function of mean vectors
• NEGATIVE BINOMIAL DISTRIBUTIONS WITH A COMMON K
• Sequential Methods and Their Applications
• Sequential estimation of the mean of the negative binomial distribution
• Bayesian Estimation and Prediction Using Asymmetric Loss Functions
• Two-stage sampling for estimating the mean of a negative binomial distribution
• Sequential point estimation of the mean when the distribution is unspecified
• Sequential Estimation of a Linear Function of Means of Three Normal Populations
• Purely sequential bounded-risk point estimation of the negative binomial means under various loss functions: Multi-sample problems
• Two-Stage Estimation of Mean in a Negative Binomial Distribution with Applications to Mexican Bean Beetle Data
• 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
• On the Asymptotic Theory of Fixed-Width Sequential Confidence Intervals for the Mean
• A Sequential Analogue of the Behrens-Fisher Problem
• SAMPLING THEORY OF THE NEGATIVE BINOMIAL AND LOGARITHMIC SERIES DISTRIBUTIONS

This page was built for publication: Purely sequential bounded-risk point estimation of the negative binomial means under various loss functions: Multi-sample problems