Advanced search
Publication Cover
Sequential Analysis
Design Methods and Applications
Volume 30, 2011 - Issue 3
Submit an article Journal homepage
140
Views
17
CrossRef citations to date
0
Altmetric
Original Articles

Two-Stage and Sequential Estimation of the Scale Parameter of a Gamma Distribution with Fixed-Width Intervals

S. Zacks Department of Mathematical Sciences, Binghamton University, Binghamton, New York, USACorrespondence[email protected]
&
Rasul A. Khan Department of Mathematics, Cleveland State University, Cleveland, Ohio, USA
Pages 297-307 | Received 15 Nov 2010, Accepted 17 Mar 2011, Published online: 04 Aug 2011

REFERENCES

  • Chow , Y. S. and Robbins , H. ( 1965 ). On the Asymptotic Theory of Fixed-Width Sequential Confidence Intervals for the Mean , Annals of Mathematical Statistics 36 : 457 – 462 .
  • Isogai , E. and Uno , C. ( 1994 ). Sequential Estimation of a Parameter of an Exponential Distribution , Annals of Institute of Statistical Mathematics 46 : 77 – 82 .
  • Kubokawa , T. ( 1989 ). Improving on Two-Stage Estimation of Scale Families , Metrika 36 : 7 – 13 .
  • Mukhopadhyay , N. ( 1988 ). Sequential Estimation Problems for Negative Exponential Population , Communications in Statistics-Theory and Methods 17 : 2471 – 2506 .
  • Mukhopadhyay , N. ( 1994 ). Improved Sequential Estimation of Means of Exponential Distributions , Annals of Institute of Statistical Mathematics 46 : 509 – 519 .
  • Mukhopadhyay , N. and Datta , S. ( 1995 ). On Fine-Tuned Bounded Risk Sequential Point Estimation of the Mean of an Exponential Distribution , South African Statistical Journal 29 : 9 – 27 .
  • Starr , N. ( 1966 ). On the Asymptotic Efficiency of a Sequential Procedure for Estimating the Mean , Annals of Mathematical Statistics 37 : 1173 – 1185 .
  • Starr , N. and Woodroofe , M. ( 1972 ). Further Remarks in Sequential Estimation: The Exponential Case , Annals of Mathematical Statistics 43 : 1147 – 1154 .
  • Takada , Y. and Nagata , Y. ( 1995 ). Fixed-Width Sequential Confidence Interval for the Mean of a Gamma Distribution , Journal of Statistical Planning and Inference 44 : 277 – 289 .
  • Woodroofe , M. ( 1977 ). Second Order Approximations for Sequential Point and Interval Estimation , Annals of Statistics 5 : 984 – 995 .
  • Woodroofe , M. ( 1991 ). The Role of Renewal Theory in Sequential Analysis, In Handbook of Sequential Analysis, B. K. Ghosh and P. K. Sen, eds., pp. 145–167, New York: Dekker.
  • Zacks , S. ( 2007 ). First Exit Times for Ordinary and Compound Poisson Processes with Non-Linear Boundaries , Methodologies and Computing in Applied Probability 9 : 359 – 375 .
  • Zacks , S. ( 2009 ). The Exact Distributions of the Stopping Times and Their Functionals in Two-Stage and Sequential Fixed-Width Confidence Intervals of the Exponential Parameter , Sequential Analysis 28 : 69 – 81 .
  • Zacks , S. and Mukhopadhyay , N. ( 2006a ). Bounded Risk Estimation of the Exponential Parameter in a Two-Stage Sampling , Sequential Analysis 25 : 437 – 452 .
  • Zacks , S. and Mukhopadhyay , N. ( 2006b ). Exact Risks of Sequential Point Estimation of the Exponential Parameter , Sequential Analysis 25 : 203 – 226 .
  • Recommended by N. Mukhopadhyay

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.