Probability and Statistics II week 6
CHAPTER THREE: UNIVARIATE DISTRIBUTIONS 1.1. DISCRETE DISTRIBUTIONS In this chapter we shall study some of the probability distributions that figure most prominently in statistical theory and applications. We shall also study their parameters, that is, the quantities that are constants for particular distributions but can take on different values for different members of families of distributions of the same kind. The most common parameters are the lower moments, mainly and . 1.1.1. THE DISCRETE UNIFORM DISTRIBUTION If a random variable can take on k different values with equal probability, we say that it has a discrete uniform distribution; symbolically, Definition 3.1.1 A random variable X has a discrete uniform distribution and it is referred to as a discrete uniform random variable if and only if its probability distribution is given by where when The Mean, Variance and Moment generating function of the Discrete Uniform Distribution Now we want to evaluate E (x2). We want to evaluate the m.g.f.
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- Institution
- Probability
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- Probability
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- Uploaded on
- May 30, 2023
- Number of pages
- 7
- Written in
- 2022/2023
- Type
- Class notes
- Professor(s)
- Prof kinyanjui
- Contains
- Week 6
Subjects
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chapter three univariate distributions
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11 discrete distributions
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111 the discrete uniform distribution
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definition 311
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112 the bernoulli distribution
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definition 312
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113 the binomial di
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