REFERENCES
- Abramowitz , M. and Stegun , I. A. ( 1968 ). Handbook of Mathematical Functions , Seventh printing, edited volume , New York : Dover .
- Basu , A. P. ( 1991 ). Sequential Methods in Reliability and Life Testing , in Handbook of Sequential Analysis , B. K. Ghosh and P. K. Sen , eds., pp. 581 – 592 , New York : Dekker .
- Bose , A. and Mukhopadhyay , N. ( 1995 ). Sequential Estimation of the Mean of an Exponential Distribution via Replicated Piecewise Stopping Number , Statistics and Decisions 19 : 351 – 361 [CSA]
- Datta , S. and Mukhopadhyay , N. ( 1995 ). On Fine-Tuned Bounded Risk Sequential Point Estimation of the Mean of an Exponential Distribution , South African Statistical Journal 29 : 9 – 27 [CSA]
- Epstein , B. and Sobel , M. ( 1953 ). Life Testing , Journal of American Statistical Association 48 : 486 – 502 [CROSSREF] [CSA]
- Epstein , B. and Sobel , M. ( 1954 ). Some Theorems Relevant to Life Testing from an Exponential Distribution , Annals of Mathematical Statistics 25 : 373 – 381 [CSA]
- Epstein , B. and Sobel , M. ( 1955 ). Sequential Procedures in Life Testing from an Exponential Distribution , Annals of Mathematical Statistics 26 : 82 – 93 [CSA]
- Ghosh , M. , Mukhopadhyay , N. , and Sen , P. K. ( 1997 ). Sequential Estimation , New York : Wiley .
- Gut , A. ( 1988 ). Stopped Random Walks: Limit Theorems and Applications , New York : Springer-Verlag .
- Hogg , R. V. and Tanis , E. A. ( 2005 ). Probability and Statistical Inference, , 7th ed. New York : Prentice-Hall .
- Kao , E. P. C. ( 1997 ). An Introduction to Stochastic Processes , New York : Duxbury .
- Lombard , F. and Swanepoel , J. W. H. ( 1978 ). On Finite and Infinite Confidence Sequences , South African Statistical Journal 12 : 1 – 24 [CSA]
- Mukhopadhyay , N. ( 1988 ). Sequential Estimation Problems for Negative Exponential Populations , Communications in Statistics—Theory & Methods 17 : 2471 – 2506 [CSA]
- Mukhopadhyay , N. ( 1994 ). Improved Sequential Estimation of Means of Exponential Distributions , Annals of Institute of Statistical Mathematics 46 : 509 – 519 [CSA]
- Mukhopadhyay , N. ( 1995a ). Second-Order Approximations in the Time-Sequential Point Estimation Methodologies for the Mean of an Exponential Distribution , Sequential Analysis 14 : 133 – 142 [CSA]
- Mukhopadhyay , N. ( 1995b ). Two-Stage and Multi-Stage Estimation , in The Exponential Distribution: Theory Methods and Applications , N. Balakrishnan and A. P. Basu , eds., pp. 429 – 452 , Amsterdam : Gordon and Breach .
- Mukhopadhyay , N. and Chattopadhyay , S. ( 1991 ). Sequential Methodologies for Comparing Exponential Mean Survival Times , Sequential Analysis 10 : 139 – 148 [CSA]
- Mukhopadhyay , N. and Cicconetti , G. ( 2000 ). Estimation of the Reliability Function after Sequential Experimentation , in Second International Conference on Mathematical Methods in Reliability , Abstract Book , vol. 2 , M. Nikulin and N. Limnios , eds., pp. 788 – 791 , Bordeaux : Universite Victor Segalen .
- Mukhopadhyay , N. and Cicconetti , G. ( 2004 ). Estimating Reliabilities Following Purely Sequential Sampling from Exponential Populations , in Advances on Ranking and Selection, Multiple Comparisons and Reliability, with Applications , N. Balakrishnan , N. Kannan , and H. N. Nagaraja , eds., pp. 303 – 332 , Boston : Birkhauser .
- Mukhopadhyay , N. and De Silva , B. M. ( 1998 ). Multistage Partial Piecewise Sampling and Its Applications , Sequential Analysis 17 : 63 – 90 [CSA]
- Mukhopadhyay , N. and De Silva , B. M. ( 2005 ). Two-Stage Estimation of Mean in a Negative Binomial Distribution with Applications to Mexican Bean Beetle Data , Sequential Analysis 24 : 99 – 137 [CSA]
- Mukhopadhyay , N. and Diaz , J. ( 1985 ). Two-Stage Sampling for Estimating the Mean of a Negative Binomial Distribution , Sequential Analysis 4 : 1 – 18 [CSA]
- Mukhopadhyay , N. and Duggan , W. T. ( 2000 ). New Results on Two-Stage Estimation of the Mean of an Exponential Distribution , in Perspectives in Statistical Science , A. K. Basu , J. K. Ghosh , P. K. Sen , and B. K. Sinha , eds., pp. 219 – 231 , New Delhi : Oxford University Press .
- Mukhopadhyay , N. , Padmanabhan , A. R. , and Solanky , T. K. S. ( 1997 ). On Estimation of the Reliability after Sequentially Estimating the Mean: The Exponential Case , Metrika 45 : 235 – 252 [CSA]
- Mukhopadhyay , N. and Purkayastha , S. ( 1994 ). On Sequential Estimation of the Difference of Means , Statistics and Decisions 12 : 41 – 52 [CSA]
- Mukhopadhyay , N. and Sen , P. K. ( 1993 ). Replicated Piecewise Stopping Numbers and Sequential Analysis , Sequential Analysis 12 : 179 – 197 [CSA]
- Nadas , A. ( 1969 ). An Extension of a Theorem of Chow and Robbins on Sequential Confidence Intervals for the Mean , Annals of Mathematical Statistics 40 : 667 – 671 [CSA]
- Robbins , H. ( 1959 ). Sequential Estimation of the Mean of a Normal Population , in Probability and Statistics , H. Cramér , U. Grenander , ed., pp. 235 – 245 , Uppsala : Almquist and Wiksell .
- Sen , P. K. ( 1980 ). On Time-Sequential Estimation of the Mean of an Exponential Distribution , Communications in Statistics—Theory & Methods 9 : 27 – 38 [CSA]
- Sen , P. K. ( 1995 ). Sequential Inference , in The Exponential Distribution: Theory, Methods and Applications , N. Balakrishnan and A. P. Basu , eds., pp. 461 – 488 , Amsterdam : Gordon and Breach .
- Sobel , M. ( 1956 ). Statistical Techniques for Reducing Experiment Time in Reliability , Bell System Technical Journal 36 : 179 – 202 [CSA]
- Starr , N. ( 1966 ). The Performance of a Sequential Procedure for Fixed-Width Interval Estimate , Annals of Mathematical Statistics 36 : 36 – 50 [CSA]
- Starr , N. and Woodroofe , M. ( 1972 ). Further Remarks on Sequential Estimation: The Exponential Case , Annals of Mathematical Statistics 43 : 1147 – 1154 [CSA]
- Willson , L. J. and Folks , J. L. ( 1983 ). Sequential Estimation of the Mean of the Negative Binomial Distribution , Sequential Analysis 2 : 55 – 70 [CSA]
- Woodroofe , M. ( 1977 ). Second-Order Approximations for Sequential Point and Interval Estimation , Annals of Statistics 5 : 984 – 995 [CSA]
- Woodroofe , M. ( 1982 ). Nonlinear Renewal Theory in Sequential Analysis , Philadelphia : SIAM .
- Zacks , S. ( 1966 ). Sequential Estimation of the Mean of a Lognormal Distribution Having a Prescribed Proportional Closeness , Annals of Mathematical Statistics 37 : 1688 – 1696 [CSA]
- Zacks , S. ( 1992 ). Introduction to Reliability Analysis: Probability Models and Statistical Methods , New York : Springer-Verlag .
- Zacks , S. ( 1994 ). The Time until the First Two Order Statistics of Independent Poisson Processes Differ by a Certain Amount , Communications in Statistics—Stochastic Models 10 : 853 – 866 [CSA]
- Zacks , S. ( 2001 ). The Operating Characteristics of Sequential Procedures in Reliability , Handbook of Statistics 20 : 789 – 811 [CSA]
- Zacks , S. ( 2004a ). Exact Determination of the Run Length Distribution of a One-Sided CUSUM Procedure Applied on an Ordinary Poisson Process , Sequential Analysis 23 : 159 – 178 [CROSSREF] [CSA]
- Zacks , S. ( 2004b ). Some Recent Results on the Distributions of Stopping Times of Compound Poisson Processes with Linear Boundaries , Journal of Statistical Planning and Inference , special volume in honor of Herman Chernoff, in press[CSA]