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Sequential Analysis
Design Methods and Applications
Volume 22, 2003 - Issue 1-2
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Original Articles

Sequential Estimation of the Powers of Normal and Exponential Scale Parameters

Eiichi Isogai Department of Mathematics, Niigata University, Niigata, Japan
,
Muktar Ali Graduate School of Science and Technology, Niigata University, Niigata, Japan
&
Chikara Uno Department of Mathematics, Akita University, Akita, Japan
Pages 129-149 | Received 01 May 2001, Published online: 17 Aug 2006

References

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  • Ghosh , M. , Mukhopadhyay , N. and Sen , P.K. 1997 . Sequential Estimation New York : John Wiley and Sons, Inc. .
  • Isogai , E. , Ali , M. and Uno , C. 2001a . Bounded risk sequential point estimation of the powers of a normal scale parameter . preprint
  • Isogai , E. and Uno , C. 2001b . Minimum risk point estimation of the powers of a negative exponential scale parameter . preprint
  • Chow , Y.S. , Hsiung , C.A. and Lai , T.L. 1979 . Extended renewal theory and moment convergence in Anscombe's theorem . Ann. Probab. , 7 : 304 – 318 .
  • Woodroofe , M. 1982 . Nonlinear Renewal Theory in Sequential Analysis , CBMS Monograph No.39 Philadelphia : SIAM .
  • Aras , G. and Woodroofe , M. 1993 . Asymptotic expansions for the moments of a randomly stopped average . Ann. Statist. , 21 : 503 – 519 .
  • Lombard , F. and Swanepoel , J.W.H. 1978 . On finite and infinite confidence sequences . South African Statist. J. , 12 : 1 – 24 .

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