Waterproof 发表于 2025-3-21 17:19:50
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Three Fundamental Distributions: Binomial, Gaussian, and Poisson,er of variables, and it is referred to as the . distribution. The Poisson distribution applies to counting experiments, and it can be obtained as the limit of the binomial distribution when the probability of success is small.Spartan 发表于 2025-3-22 00:56:03
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Maximum Likelihood and Other Methods to Estimate Variables,n estimator of the parent mean. One of these methods, the maximum likelihood method, will later be used in more complex applications that involve the fit of two-dimensional data and the estimation of fit parameters. The concepts introduced in this chapter constitute the core of the statistical techniques for the analysis of scientific data.外星人 发表于 2025-3-22 11:32:41
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Model Comparison,f the . statistic, useful to compare the goodness of fit between two models and the need for an additional “nested” model component, and the Kolmogorov–Smirnov statistics, useful in providing a quantitative measure of the goodness of fit, and in comparing two datasets regardless of their fit to a specific model.avenge 发表于 2025-3-22 22:03:15
Monte Carlo Markov Chains, values and confidence intervals. The modern-day data analyst will find that MCMCs are an essential tool that permits tasks that are simply not possible with other methods, such as the simultaneous estimate of parameters for multi-parametric models of virtually any level of complexity, even in the presence of correlation among the parameters.beta-carotene 发表于 2025-3-23 01:59:09
Theory of Probability,hod to assign the probability of an event, for example, the probability that a coin lands heads up after a toss. The .—or empirical—approach and the .—or Bayesian— approach are two methods that can be used to calculate probabilities. The fact that there is more than one method available for this purpacket 发表于 2025-3-23 08:54:37
Random Variables and Their Distributions,value of these quantities cannot be known with absolute precision, but rather we can constrain the variable to a given range of values, narrower or wider according to the nature of the variable itself and the type of experiment performed. Random variables are described by a distribution function, wh