{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,25]],"date-time":"2026-07-25T00:53:40Z","timestamp":1784940820901,"version":"3.55.0"},"reference-count":24,"publisher":"Wiley","issue":"4","license":[{"start":{"date-parts":[[2005,8,4]],"date-time":"2005-08-04T00:00:00Z","timestamp":1123113600000},"content-version":"vor","delay-in-days":3,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Biometrical J"],"published-print":{"date-parts":[[2005,8]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>Plant disease is responsible for major losses in agriculture throughout the world. Diseases are often spread by insect organisms that transmit a bacterium, virus, or other pathogen. To assess disease epidemics, plant pathologists often use<jats:italic> multiple\u2010vector\u2010transfers<\/jats:italic> . In such contexts, groups of insect vectors are moved from an infected source to each of <jats:italic>n<\/jats:italic> test plants that will then be observed for developing symptoms of infection. The purpose of this paper is to present new estimators for <jats:italic>p<\/jats:italic> , the probability of pathogen transmission for an individual vector, motivated from an empirical Bayesian approach. We specifically investigate four such estimators, characterize their small\u2010sample properties, and propose new credible intervals for <jats:italic>p<\/jats:italic> . These estimators remove the need to specify hyperparameters a priori and are shown to be easier to compute than the classical Bayes estimators proposed by Chaubey and Li (1995, <jats:italic>Journal of Official Statistics<\/jats:italic> <jats:bold>11<\/jats:bold>, 1035\u20131046) and Chick (1996, <jats:italic>Biometrics<\/jats:italic> <jats:bold>52<\/jats:bold>, 1055\u20131062). Furthermore, some of these estimators are shown to have better frequentist properties than the commonly used maximum likelihood estimator and to provide a smaller Bayes risk than the estimator proposed by Burrows (1987, <jats:italic>Phytopathology<\/jats:italic> <jats:bold>77<\/jats:bold>, 363\u2013365). (\u00a9 2005 WILEY\u2010VCH Verlag GmbH &amp; Co. KGaA, Weinheim)<\/jats:p>","DOI":"10.1002\/bimj.200310139","type":"journal-article","created":{"date-parts":[[2005,8,4]],"date-time":"2005-08-04T11:23:38Z","timestamp":1123154618000},"page":"502-516","source":"Crossref","is-referenced-by-count":17,"title":["Empirical Bayesian Estimation of the Disease Transmission Probability in Multiple\u2010Vector\u2010Transfer Designs"],"prefix":"10.1002","volume":"47","author":[{"given":"Christopher R.","family":"Bilder","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Joshua M.","family":"Tebbs","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2005,8,4]]},"reference":[{"key":"e_1_2_1_2_1","doi-asserted-by":"crossref","unstructured":"Abramowitz M.andStegun I.(1965).Handbook of Mathematical Functions with Formulas Graphs and Mathematical tables.Washington D.C.: Bureau of National Standards.","DOI":"10.1115\/1.3625776"},{"key":"e_1_2_1_3_1","unstructured":"Box G.andTiao G.(1973).Bayesian Inference in Statistical Analysis.New York: Wiley."},{"key":"e_1_2_1_4_1","doi-asserted-by":"publisher","DOI":"10.1214\/ss\/1009213286"},{"key":"e_1_2_1_5_1","doi-asserted-by":"publisher","DOI":"10.1094\/Phyto-77-363"},{"key":"e_1_2_1_6_1","first-page":"379","article-title":"Comparison between maximum likelihood and Bayes methods for estimation of binomial probability with sample compositing","volume":"11","author":"Chaubey Y.","year":"1995","journal-title":"Journal of Official Statistics"},{"key":"e_1_2_1_7_1","doi-asserted-by":"publisher","DOI":"10.2307\/2532446"},{"key":"e_1_2_1_8_1","doi-asserted-by":"publisher","DOI":"10.1002\/bimj.4710370207"},{"key":"e_1_2_1_9_1","doi-asserted-by":"publisher","DOI":"10.2307\/2533066"},{"key":"e_1_2_1_10_1","doi-asserted-by":"crossref","unstructured":"Dines A.andMottley J.(1999).Seeds of Change: Applications of Biotechnology to Agriculture.Biotechnology: The Science and the Business.2nd Edition 461\u2013495. 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