心胸开阔 发表于 2025-3-27 00:40:09
Combinatorics, audience, when we sample for errors, play lotteries, or generally when we choose between alternatives which are equally probable. The main problem is then to figure out how many combinations there are of a particular type. When we know the number of combinations, it is easy to figure out the probab搜寻 发表于 2025-3-27 03:50:37
Random Variables, Mean, and Variance,lity of the different outcomes that can occur. We can, e.g., ask about the probability for exactly . defective items in a sample of 10 items. We let . run from 0 to 10, and compute 11 probabilities. The set of these probabilities we call the distribution. When the distribution is known, we are usualAncestor 发表于 2025-3-27 08:55:24
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Basic Probability Distributions,particular, we will provide explicit formulas for the mean and variance. We focus the binomial distribution, the hyper geometric distribution, the Poisson distribution, and the normal distribution. The literature making use of these distributions is really huge. The normal distribution alone is appl不真 发表于 2025-3-27 14:30:09
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Hypothesis Testing,an, e.g., ask if a poll confirms that voters have changed their opinion, or if a manager of mutual funds is performing systematically better than another. To test different hypotheses against each after, we need to make observations. From observations we can determine which hypothesis is more likelyCULP 发表于 2025-3-28 00:01:46
Commonly Used Tests,d to process statistical data. The tests we consider are: A test for binomial variables, the .-test for expected value, the .-test for comparison of two populations, Wilcoxons’ distribution free tests, the . test, and the chi-square tests. The tests are presented in terms of recipes, i.e., step by sInstinctive 发表于 2025-3-28 02:25:37
Linear Regression,is is that we have done the observations over a period of time, and as time passes the distribution of values may change. To determine if such changes are random or systematic, we can use linear regression. Linear regression is a widely used technique that has a lot to offer, in particular since we雪白 发表于 2025-3-28 06:41:46
978-3-319-89016-6Springer International Publishing AG 2017昏暗 发表于 2025-3-28 11:52:26
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