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  1. Changhua County ( Mandarin Pinyin: Zhānghuà Xiàn; Wade-Giles: Chang¹-hua⁴ Hsien⁴; Hokkien POJ: Chiang-hòa-koān or Chiong-hòa-koān) is the smallest county on the main island of Taiwan by area, and the fourth smallest in the country. With a total population of 1.24 million, Changhua County is the most populous county in the Republic ...

    • 1,074.396 km² (414.827 sq mi)
    • Western Taiwan
  2. A chart showing uniform distribution. In probability theory and statistics, a collection of random variables is independent and identically distributed if each random variable has the same probability distribution as the others and all are mutually independent. [1] This property is usually abbreviated as i.i.d., iid, or IID.

  3. In probability theory and statistics, the multivariate normal distribution, multivariate Gaussian distribution, or joint normal distribution is a generalization of the one-dimensional normal distribution to higher dimensions.One definition is that a random vector is said to be k-variate normally distributed if every linear combination of its k components has a univariate normal distribution.

  4. The Student's t distribution plays a role in a number of widely used statistical analyses, including Student's t test for assessing the statistical significance of the difference between two sample means, the construction of confidence intervals for the difference between two population means, and in linear regression analysis .

  5. In probability theory and statistics, the chi-squared distribution (also chi-square or -distribution) with degrees of freedom is the distribution of a sum of the squares of independent standard normal random variables. The chi-squared distribution is a special case of the gamma distribution and is one of the most widely used probability distributions in inferential statistics, notably in ...

  6. In probability theory and statistics, the continuous uniform distributions or rectangular distributions are a family of symmetric probability distributions. Such a distribution describes an experiment where there is an arbitrary outcome that lies between certain bounds. [1] The bounds are defined by the parameters, and which are the minimum and ...

  7. where is the gamma function and is the hypergeometric function. In probability theory, a beta negative binomial distribution is the probability distribution of a discrete random variable equal to the number of failures needed to get successes in a sequence of independent Bernoulli trials. The probability of success on each trial stays constant ...

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