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Sequential Analysis
Design Methods and Applications
Volume 24, 2005 - Issue 1
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Original Articles

Two-Stage Estimation of Mean in a Negative Binomial Distribution with Applications to Mexican Bean Beetle Data

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Pages 99-137 | Received 01 Jul 2003, Accepted 01 Jun 2004, Published online: 15 Feb 2007

REFERENCES

  • Allen , J. D. , Gonzalez , D. , and Gokhale , D. V. ( 1972 ). Sequential Sampling Plans for the Bollworm , Helliothis zea Environmental Entomology 1 : 771 – 780 .
  • Anscombe , F. J. ( 1949 ). The Statistical Analysis of Insect Counts Based on the Negative Binomial Distribution , Biometrics 5 : 165 – 173 .
  • Anscombe , F. J. ( 1950 ). Sampling Theory of the Negative Binomial and Logarithmic Series Distribution , Biometrika 37 : 358 – 382 . [PUBMED] [INFOTRIEVE]
  • Barrigossi , J. A. F. ( 1997 ). Development of an IPM System for the Mexican Bean Beetle (Epilachna Varivestis Mulsant) as a Pest of Dry Bean Phaseolus Vulgaris L., Ph.D. diss., University of Nebraska-Lincoln .
  • Berti , A. , Zanin , G. , Baldoni , G. , Grignani , C. , Mazzoncini , M. , Montemurro , P. , Tei , F. , Vazzana , C. , and Viggiani , P. ( 1992 ). Frequency Distribution of Weed Counts and Applicability of a Sequential Sampling Method to Integrated Weed Management , Weed Research 32 : 39 – 44 .
  • Binns , D. ( 1975 ). Sequential Estimation of the Mean of a Negative Binomial Distribution , Biometrika 62 : 433 – 440 .
  • Bliss , C. L. , and Owen , A. R. C. ( 1958 ). Negative Binomial Distributions with a Common k , Biometrika 45 : 37 – 38 .
  • Ghosh , M. , and Mukhopadhyay , N. ( 1981 ). Consistency and Asymptotic Efficiency of Two-Stage and Sequential Estimation Procedures , Sankhya, Ser. A , 43 : 220 – 227 .
  • Ghosh , M. , Mukhopadhyay , N. , and Sen , P. K. ( 1997 ). Sequential Estimation , New York : Wiley .
  • Johnson , G. , Mortensen , D. A. , Young , L. J. , and Martin , A. R. ( 1995 ). The Stability of Weed Seedling Population Models and Parameters in Eastern Nebraska Corn (Zea mays) and Soybean (Glycine max) Fields , Weed Science 43 : 604 – 611 .
  • Johnson , N. L. , and Kotz , S. ( 1969 ). Distributions in Statistics: Discrete Distributions , New York : Wiley .
  • Kuno , E. ( 1969 ). A New Method of Sequential Sampling to Obtain Population Estimates with a Fixed Level of Accuracy , Research in Population Ecology 11 : 127 – 136 .
  • Kuno , E. ( 1972 ). Some Notes on Population Estimation by Sequential Sampling , Research in Population Ecology 14 : 58 – 73 .
  • Marshall , E. J. P. ( 1988 ). Field-Scale Estimates of Grass Weed Population in Arable Land , Weed Research 28 : 191 – 198 . [CSA]
  • Mukhopadhyay , N. ( 2002 ). Sequential Sampling , in The Encyclopedia of Environmetrics , vol. 4 , A. H. , Shaarawi and W. W. Piegorsch , eds., pp. 1983 – 1988 , Chichester , England : Wiley .
  • Mukhopadhyay , N. , and Diaz , J. (1985). Two-Stage Sampling for Estimating the Mean of a Negative Binomial Distribution, Sequential Analysis 4:1–18.
  • Mulekar , M. S. , and Young , L. J. ( 1991 ). Approximations for a Fixed Sample Size Selection Procedure for Negative Binomial Populations , Communnications in Statistics-Theory & Methods 20 : 1767 – 1776 .
  • Mulekar , M. S. , and Young , L. J. ( 2004 ). Sequential Estimation in the Agricultural Sciences , in Applied Sequential Methodologies N. Mukhopadhyay , S. Datta , and S. Chattopadhyay , eds., pp. 293 – 318 , New York : Marcel Dekker .
  • Mulekar , M. S. , Young , L. J. , and Young , J. H. ( 1993 ). Introduction to 2-SPRT for Testing Insect Population Densities , Environmental Entomology 22 : 346 – 351 . [CSA]
  • Nyrop , J. P. , and Binns , M. ( 1991 ). Quantitative Methods for Designing and Analyzing Sampling Program for Use in Pest Management , in Handbook of Pest Management , vol. 2 , D. Pimental , ed., pp. 67 – 132 , Boca Raton , Flo. : CRC Press .
  • Onsager , J. A. ( 1976 ). The Rationale of Sequential Sampling, with Emphasis on Its Use in Pest Management , Technical Bulletin 1526 , Washington , D.C. : Agricultural Research Service, USDA .
  • Plant , R. E. , and Wilson , L. T. ( 1985 ). A Bayesian Method for Sequential Sampling and Forecasting in Agricultural Pest Management , Biometrics 41 : 203 – 214 .
  • Sterling , W. L. ( 1976 ). Sequential Decision Plans for the Management of Cotton Anthropods in Southeast Queensland , Australian Journal of Ecology 1 : 265 – 274 .
  • Sylvester , E. S. , and Cox , E. I. ( 1961 ). Sequential Plans for Sampling Aphids on Sugar Beets in Kern County, California , Journal of Economic Entomology 54 : 1080 – 1085 .
  • Waters , W. E. ( 1955 ). Sequential Analysis of Forest Insect Surveys , Forest Science 1 : 68 – 79 .
  • Wiles , L. J. , Oliver , G. W. , York , A. C. , Gold , H. J. , and Wilkerson , G. G. ( 1992 ). Spatial Distribution of Broadleaf Weeds in North Carolina Soybean (Glycine max) , Weed Science 40 : 554 – 557 .
  • Willson , L. J. ( 1981 ). Estimation and Testing Procedures for the Parameters of the Negative Binomial Distribution, Ph.D. diss., Oklahoma State University .
  • Willson , L. J. , and Folks , J. L. ( 1983 ). Sequential Estimation of the Mean of the Negative Binomial Distribution , Sequential Analysis 2 : 55 – 70 .
  • Wilson , L. T. ( 1982 ). Development of an Optimal Monitoring Program in Cotton: Emphasis on Spider Mites and Heliothis spp. , Entomophaga 27 : 45 – 50 . [CSA]
  • Young , L. J. ( 1994 ). Computations of Some Exact Properties of Wald's SPRT When Sampling from a Class of Discrete Distributions , Biometrical Journal 36 : 627 – 637 .
  • Young , L. J. ( 2004 ). Sequential Testing in the Agricultural Sciences , in Applied Sequential Methodologies , N. Mukhopadhyay , S. Datta , and S. Chattopadhyay , eds., pp. 381 – 410 , New York : Marcel Dekker .
  • Zou , G. ( 1998 ). Weed Population Sequential Sampling Plan and Weed Seedling Emergence Pattern Prediction, Ph.D. diss., University of Connecticut .
  • Recommended by Linda Young

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