# Sequential interval estimation via replicated piecewise stopping times and accelerated stopping times in a class of two-parameter exponential family of distributions

@article{Arup1995SequentialIE, title={Sequential interval estimation via replicated piecewise stopping times and accelerated stopping times in a class of two-parameter exponential family of distributions}, author={Bose Arup and Mukhopadhyay Nitis}, journal={Sequential Analysis}, year={1995}, volume={14}, pages={287-305} }

We reconsider the problem of constructing interval estimate of fixed proportional accuracy as introduced in Bose and Boukai (1993b). We discuss two approaches to make their fully sequential procedure operationally more attractive. First, we propose to implement their sequential procedure in smaller pieces along the lines of Mukhopadhyay and Sen (1993). Second, we perform purely sequential sampling part of the way, followed by appropriate batch sampling. In either case we provide the second… Expand

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#### References

SHOWING 1-9 OF 9 REFERENCES

Second order properties of accelerated stopping times with applications in sequential estimation

- Mathematics
- 1991

Let W1,W2,...be independent and identically distributed, positive and continuous, random variables having all moments finite with E(W1) = 0 Suppose that where . Let N1(h) be the smallest integer and… Expand

Sequential Estimation Results for a Two-Parameter Exponential Family of Distributions

- Mathematics
- 1993

We consider the problem of sequentially estimating one parameter in a class of two-parameter exponential family of distributions. We assume a weighted squared error loss with a fixed cost of… Expand

A Nonlinear Renewal Theory with Applications to Sequential Analysis II

- Mathematics
- 1977

Abstract : An analogue of Blackwell's renewal theorem is obtained for processes Z sub n = S sub n + xi sub n, where S sub n is the nth partial sum of a sequence X1,X2,... of independent identically… Expand

Replicated piecewise stopping numbers and sequential analysis

- Mathematics
- 1993

For certain basic problems in sequential analysis,it is shown that a piecewise sequential methodology resting on replicated piecewise stopping numbers provides a natural estimate of the variance of… Expand

Sequential Estimation Saving Sampling Operations

- Mathematics
- 1983

Anscombe, Chow and Robbins. It enables the number of samphng operations to be reduced by any predetermined factor, at the expense of only a slight increase in the expected sample size. The large… Expand

Nonlinear Renewal Theory in Sequential Analysis

- Mathematics
- 1987

Randomly Stopped Sequences Random Walks The Sequential Probability Ratio Test Nonlinear Renewal Theory Local Limit Theorems Open-Ended Tests Repeated Significance Tests Multiparameter Problems… Expand

The Bootstrap and Edgeworth Expansion

- Mathematics, Chemistry
- 1992

1: Principles of Bootstrap Methodology.- 2: Principles of Edgeworth Expansion.- 3: An Edgeworth View of the Bootstrap.- 4: Bootstrap Curve Estimation.- 5: Details of Mathematical Rigour.- Appendix I:… Expand