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Methods for making inferences from data about one or more probabilities and proportions are a fundamental part of a statistician’s toolbox and statistics courses. Unfortunately many of the quick, approximate methods currently taught have recently been found to be inappropriate. This monograph gives an up-to-date review of recent research on the topic and presents both exact methods and helpful approximations. Detailed theory is also presented for the different distributions involved, and can be used in a classroom setting. It will be useful for those teaching statistics at university level and for those involved in statistical consulting.

Statistics --- Mathematical statistics --- Probabilities --- Mathematics --- Physical Sciences & Mathematics --- Mathematical Statistics --- Statistics. --- Probabilities. --- Probability --- Statistical inference --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Statistical Theory and Methods. --- Econometrics --- Combinations --- Chance --- Least squares --- Risk --- Mathematical statistics. --- Statistics, Mathematical --- Sampling (Statistics) --- Statistics .

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Adaptive sampling (Statistics) --- Sampling (Statistics) --- Adaptive sampling (Statistics).

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This comprehensive book, rich with applications, offers a quantitative framework for the analysis of the various capture-recapture models for open animal populations, while also addressing associated computational methods. The state of our wildlife populations provides a litmus test for the state of our environment, especially in light of global warming and the increasing pollution of our land, seas, and air. In addition to monitoring our food resources such as fisheries, we need to protect endangered species from the effects of human activities (e.g. rhinos, whales, or encroachments on the habitat of orangutans). Pests must be be controlled, whether insects or viruses, and we need to cope with growing feral populations such as opossums, rabbits, and pigs. Accordingly, we need to obtain information about a given population’s dynamics, concerning e.g. mortality, birth, growth, breeding, sex, and migration, and determine whether the respective population is increasing , static, or declining. There are many methods for obtaining population information, but the most useful (and most work-intensive) is generically known as “capture-recapture,” where we mark or tag a representative sample of individuals from the population and follow that sample over time using recaptures, resightings, or dead recoveries. Marks can be natural, such as stripes, fin profiles, and even DNA; or artificial, such as spots on insects. Attached tags can, for example, be simple bands or streamers, or more sophisticated variants such as radio and sonic transmitters. To estimate population parameters, sophisticated and complex mathematical models have been devised on the basis of recapture information and computer packages. This book addresses the analysis of such models. It is primarily intended for ecologists and wildlife managers who wish to apply the methods to the types of problems discussed above, though it will also benefit researchers and graduate students in ecology. Familiarity with basic statistical concepts is essential.

Animal populations --- Estimates. --- Mathematical statistics. --- Ecology. --- Genetics --- Statistics. --- Statistical methods. --- Animal ecology. --- Statistical Theory and Methods. --- Theoretical Ecology/Statistics. --- Genetics and Population Dynamics. --- Statistics for Life Sciences, Medicine, Health Sciences. --- Biostatistics. --- Animal Ecology. --- Mathematics. --- Animals --- Zoology --- Ecology --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Mathematics --- Econometrics --- Biology --- Embryology --- Mendel's law --- Adaptation (Biology) --- Breeding --- Chromosomes --- Heredity --- Mutation (Biology) --- Variation (Biology) --- Balance of nature --- Bionomics --- Ecological processes --- Ecological science --- Ecological sciences --- Environment --- Environmental biology --- Oecology --- Environmental sciences --- Population biology --- Statistical inference --- Statistics, Mathematical --- Statistics --- Probabilities --- Sampling (Statistics) --- Statistics . --- Ecology . --- Biomathematics. --- Biological statistics --- Biometrics (Biology) --- Biostatistics --- Biomathematics

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Mathematical statistics

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Statistical science --- Mathematical statistics --- Biomathematics. Biometry. Biostatistics --- General ecology and biosociology --- biomathematica --- biostatistiek --- statistiek --- ecologie --- biometrie