Statistical ratios | Algebra of random variables | Types of probability distributions
A ratio distribution (also known as a quotient distribution) is a probability distribution constructed as the distribution of the ratio of random variables having two other known distributions.Given two (usually independent) random variables X and Y, the distribution of the random variable Z that is formed as the ratio Z = X/Y is a ratio distribution. An example is the Cauchy distribution (also called the normal ratio distribution), which comes about as the ratio of two normally distributed variables with zero mean.Two other distributions often used in test-statistics are also ratio distributions: the t-distribution arises from a Gaussian random variable divided by an independent chi-distributed random variable, while the F-distribution originates from the ratio of two independent chi-squared distributed random variables.More general ratio distributions have been considered in the literature. Often the ratio distributions are heavy-tailed, and it may be difficult to work with such distributions and develop an associated statistical test.A method based on the median has been suggested as a "work-around". (Wikipedia).
This video defines a ratio and provides several examples on how to write a ratio and shows how to simplify a ratio. http://mathispower4u.wordpress.com/
From playlist Ratios and Rates
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Ratios are used to compare different quantities. In this introduction to ratios we will look at what ratios are, how we deal with ratios of different measurement units and that ratios can be simplified. To donate to the tecmath channel:https://paypal.me/tecmath To support tecmath on Pa
From playlist Ratios
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Learn how to take equivalent ratios and rewrite them into a ratio table. Then solve a proportion question with the table. http://www.MathVillage.info
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http://AllSignalProcessing.com for more great signal processing content, including concept/screenshot files, quizzes, MATLAB and data files. There is no universally optimal test strategy for composite hypotheses (unknown parameters in the pdfs). The generalized likelihood ratio test (GLRT
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This video defines a proportion and explains how to solve a proportion. http://mathispower4u.wordpress.com/
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