Nucleate
发表于 2025-3-23 12:07:41
Maximum Entropy Distributionsof mean, variance, or any . moments. The solution of these variational problems belongs to the exponential family. However, explicit solutions exist only in a few particular cases. A distinguished role is played by the study of the Maxwell–Boltzmann distribution.
不在灌木丛中
发表于 2025-3-23 16:31:40
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智力高
发表于 2025-3-23 19:05:37
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上腭
发表于 2025-3-24 01:29:55
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Proponent
发表于 2025-3-24 02:30:50
Contrast Functions on Statistical Modelsative entropy, .-divergence, Hellinger distance, Chernoff information, Jefferey distance, Kagan divergence, and exponential contrast function. The relation with the skewness tensor and .-connection is made. The goal of this chapter is to produce hands-on examples for the theoretical concepts introduced in Chap. ..
critic
发表于 2025-3-24 08:46:32
Statistical Submanifolds the first and second fundamental forms, curvatures, mean curvatures, and the relations among them..This material adapts the well-known theory of submanifolds to the statistical manifolds framework and consists mainly in the contributions of the authors.
庄严
发表于 2025-3-24 13:17:39
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向前变椭圆
发表于 2025-3-24 18:10:40
Dystopische Welten in der ,-TrilogieEntropy is a notion taken form Thermodynamics, where it describes the uncertainty in the movement of gas particles. In this chapter the entropy will be considered as a measure of uncertainty of a random variable.
繁重
发表于 2025-3-24 21:02:16
https://doi.org/10.1007/978-3-322-88458-9The informational energy is a concept inspired from the kinetic energy expressionof Classical Mechanics. From the information theory point of view, the . is a measure of uncertainty or randomness of a probability system, and was introduced and studied for the first time by Onicescu in the mid-1960s.
Dawdle
发表于 2025-3-25 00:44:43
Explicit ExamplesThis chapter presents a few examples of usual statistical models (normal, lognormal, beta, gamma, Bernoulli, and geometric) for which we provide the Fisher metricexplicitly and, if possible, the geodesicsand .-autoparallelcurves. Some Fisher metrics will involve the use of non-elementary functions, such as the digamma and trigamma functions.