Multistage point estimation methodologies for a negative exponential location under a modified linex loss function: Illustrations with infant mortality and bone marrow data

DOI10.1080/07474946.2016.1165532zbMath1345.62114OpenAlexW2474554764MaRDI QIDQ2816632

Sudeep R. Bapat, Nitis Mukhopadhyay

Publication date: 25 August 2016

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

Full work available at URL: https://doi.org/10.1080/07474946.2016.1165532

zbMATH Keywords

simulationsrisklocation parameterscale parameterfirst-order propertiestwo-stagereal datanonlinear renewal theorypurely sequentialsecond-order propertiesnegative exponentialmodified two-stageLinex losscancer researchmodified Linex lossrisk per unit costbone marrow datainfant mortality data

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Applications of statistics to biology and medical sciences; meta analysis (62P10) Point estimation (62F10) Applications of statistics in engineering and industry; control charts (62P30) Sequential statistical design (62L05) Sequential estimation (62L12)

Related Items (15)

On comparing locations of two-parameter exponential distributions using sequential sampling with applications in cancer research ⋮ Bounded risk per unit cost index constraint for sequential estimation of the mean in a two-parameter exponential distribution ⋮ Two-stage estimation of the combination of location and scale parameter of the exponential distribution under the constraint of bounded risk per unit cost index ⋮ 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 ⋮ Purely sequential and \(k\)-stage procedures for estimating the mean of an inverse Gaussian distribution ⋮ EDA on the asymptotic normality of the standardized sequential stopping times, Part-I: Parametric models ⋮ Inference for a simple step-stress model based on ordered ranked set sampling ⋮ A robust two-stage procedure for the Poisson process under the linear exponential loss function ⋮ Purely sequential bounded-risk point estimation of the negative binomial mean under various loss functions: one-sample problem ⋮ Sequential minimum risk point estimation (MRPE) methodology for a normal mean under Linex loss plus sampling cost: First-order and second-order asymptotics ⋮ Multi-stage procedures for the minimum risk and bounded risk point estimation of the location of negative exponential distribution under the modified LINEX loss function ⋮ 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 ⋮ Modified Linex two-stage and purely sequential estimation of the variance in a normal distribution with illustrations using horticultural data ⋮ 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

Uses Software

• Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Higher order approximations by a two-stage procedure for a negative exponential distribution
• Sequential and two-stage procedures for selecting the better exponential population covering the case of unknown and unequal scale parameters
• A sequential estimation procedure for the parameter of an exponential distribution under asymmetric loss function
• Second order approximations for sequential point and interval estimation
• A nonlinear renewal theory with applications to sequential analysis. I
• A nonlinear renewal theory with applications to sequential analysis II
• On a two-stage procedure having second-order properties with applications
• The ergodic theorem
• BAYES SEQUENTIAL ESTIMATION OF POISSON MEAN UNDER A LINEX LOSS FUNCTION
• Stage‐Wise Adaptive Designs
• Three-stage and accelerated sequential point estimation of the normal mean using LINEX loss function
• Sequential estimation problems for negative exponential populations
• Sequential Methods and Their Applications
• On Exact and Asymptotic Properties of Two-Stage and Sequential Estimation of the Normal Mean Under LINEX Loss
• Sequential Estimation of Location Parameter in Exponential Distributions
• Sequential estimation of exponential lacation parameter using an asymmetric loss function
• Asymmetric Penalized Prediction Using Adaptive Sampling Procedures
• Fixed width confidence intervals for the location parameter of an exponential distribution
• Bayes Sequential Estimation for One-Parameter Exponential Family Under Asymmetric LINEX Loss Function
• Multistage Estimation Procedures with Bounded Risk for the Normal Mean Under LINEX Loss Function
• On the Asymptotic Theory of Fixed-Width Sequential Confidence Intervals for the Mean
• A Two-Sample Test for a Linear Hypothesis Whose Power is Independent of the Variance
• Sequential estimation of normal mean under asymmetric loss function with a shrinkage stopping rule
• Sequential point estimation of normal mean under LINEX loss function.
• Sequential estimation of a linear function of normal means under asymmetric loss function.

This page was built for publication: Multistage point estimation methodologies for a negative exponential location under a modified linex loss function: Illustrations with infant mortality and bone marrow data