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Statistical Application Development with R and Python - Second Edition by Prabhanjan Narayanachar Tattar

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Maximum likelihood estimator

Let us consider the discrete probability distributions as seen in the Discrete distributions section of Chapter 1, Data Characteristics. We saw that a binomial distribution is characterized by the parameters in n and p, the poisson distribution by Maximum likelihood estimator, and so on. Here, the parameters completely determine the probabilities of the x values. However, when the parameters are unknown, which is the case in almost all practical problems, we collect data for the random experiment and try to infer about the parameters. This is essentially inductive reasoning and the subject of statistics is essentially inductive driven as opposed ...

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