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Original Articles

On accelerating sequential procedures for estimating exponential populations

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Pages 3315-3324 | Received 01 Jan 1990, Published online: 27 Jun 2007

References

  • Anscombe , F. J. 1952 . Large sample theory of sequential estimation . Proc. Cambridge Philos. Soc , 45 : 600 – 607 .
  • Anscombe , F. J. 1953 . Sequential estimation . J. Roy. Statist. Soc , 15 : 1 – 29 .
  • Basu , A. P. 1971 . On a sequential rule for estimating the location parameter of an exponential distribution . Naval Res. Logist. Qr , 18 : 329 – 337 .
  • Bhattacharya , P. K. and Malik , A. 1973 . Asymptotic normality of the stopping times of some sequential procedures . Ann. Statist , 1 : 1203 – 1211 .
  • Chow , Y. S. and Robbins , H. 1965 . On the asymptotic theory of fixed width sequential point estimation . J. Mult. Analysis , 6 : 281 – 294 .
  • Costanza , M. c. , Hamdy , H. I. and Son , M. S. 1986 . Two stage fixed width confidence intervals for the common location parameter of several exponential distributions . Commun. Statist. Theor. Meth , 15 : 2305 – 2322 .
  • Hall , P. 1981 . Asymptotic theory of triple sampling for sequential estimation of a mean . Ann. Statist , 9 : 1229 – 1238 .
  • Hall , P. 1983 . Sequential estimation saving sampling operations . J. R. Statist. Soc. B , 45 : 219 – 223 .
  • Hamdy , H. I. 1983 . “ Sequential estimation of the parameters of negative exponentialand rectangular distributions ” . In Ph.D. dissertation , Department of Statistics, Oklahoma State University .
  • Hamdy , H. I. 1983 . Sequential estimation of the parameters of negative exponential and rectangular distributions . Scand. J. of Stat , 15 : 303 – 310 .
  • Hamdy , H. I. , Mukhopadhyay , N. , Costanza , M. C. and Son , M. S. 1988 . Triple stage point estimation for the exponential location parameter . Ann. Inst. Statist.Math , 40 : 785 – 797 .
  • Mukhopadhyay , N. 1974 . Sequential estimation of location parameter in exponential distributions . Calcutta Statist. Assoc. Bull , 23 : 85 – 95 .
  • Mukhopadhyay , N. and Hamdy , H. I. 1984 . On estimating the difference of location parameters of two negative exponential distributions . Canad. J. Statist , 12 : 67 – 76 .
  • Mukhopadhyay , N. and Hamdy , H. I. 1984 . Two stage procedures for selecting the best exponential population when the scale parameters are unknown and unequal . Sequential Anal , 3 : 51 – 74 .
  • Lombard , F. and Swanepoel , J. W. H. 1978 . On finite and infinite confidence sequences . s.Afr. Statist. J , 12 : 1 – 24 .
  • Robbins , H. 1959 . “ Sequential estimation of the mean of a normal population ” . In Probability and Statistics , 235 – 245 . Uppsala, Sweden : Almquist and Wiksell . The Herald Cramer Volume
  • Simons , G. 1968 . On the cost of not knowing the variance when making a fixed-width interval estimation of the mean . Ann. Math. Statist , 39 : 1946 – 1952 .
  • Starr , N. and Woodroofe , M. 1972 . Further remarks on sequential estimation: The exponential case . Ann. Math. Statist , 43 : 1147 – 1154 .
  • Stein , C. 1945 . A two-sample test for a linear hypothesis whose power is independent of the variance . Ann. Math. Statist , 16 : 243 – 258 .
  • Stein , C. 1949 . Some problems in sequential estimation . Abstract in Econometrics , 17 : 77 – 78 .
  • Swanepoel , J. W. H. and van Wyk , J. W. J. 1982 . Fixed-width confidence intervals for the location parameter of an exponential distribution . Commun. Statist., Ser A , 11 : 1279 – 1289 .
  • Woodroofe , M. 1977 . Second order approximations for sequential point and interval estimation . Ann. Statist , 5 : 984 – 995 .

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