Introduction to Mathematical Statistics.
نویسندگان
چکیده
منابع مشابه
APPM 5520: Introduction to Mathematical Statistics Course Notes
1.1.1 Basic Definitions When we say that a random variable X has a “probability density function,” we mean one of two things: 1. If X is discrete, then X has a probability mass function f (x), where f (x) = P(X = x). The probability mass function tells us the likelihood of the random variable X taking on the value x. 2. If X is continuous, then the probability density function is defined differ...
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A similar process can be used when dealing with sample means. If a suYcient number of samples have been taken, and their means plotted, then they begin to take up a normal distribution. It can be shown mathematically that the mean of this distribution (μx) is the same as the population mean (μ). Furthermore, the standard deviation of the distribution is equal to ó/'n, where n is the number of c...
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logical possibility, be two things which had exactly the same predicates, in the narrow sense in which we have been using the word “predicate.” How does our axiom look when we pass beyond predicates in this narrow sense? In the actual world there seems no way of doubting its empirical truth as regards particulars, owing to spatio-temporal differentiation: no two particulars have exactly the sam...
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ژورنال
عنوان ژورنال: The American Mathematical Monthly
سال: 1918
ISSN: 0002-9890
DOI: 10.2307/2974342