Titlebook: Probability, Statistics and Simulation; With Application Pro Alberto Rotondi,Paolo Pedroni,Antonio Pievatolo Textbook 2022 The Editor(s) (i

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Applications of Monte Carlo Methods,The fields of application of the Monte Carlo (MC) methods are practically unlimited, and it is really difficult to deal organically with such a wide variety within the limited space the of a chapter.

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Statistical Inference and Likelihood,In Chaps. . and ., we introduced estimation theory and hypothesis testing in the context of elementary statistics: from a data sample, an estimate of a statistical parameter (mean, probability, correlation coefficient, etc.) with its error and the related confidence interval is calculated.

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Least Squares,In Sect. . we showed that the least squares (LS) method originates from the maximum likelihood principle when the variables are Gaussian.

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Experimental Data Analysis,The technical and more extensive part of this chapter describes how to apply statistical and probabilistic methods to the various types of measurements and experiments that are usually carried out in a scientific laboratory.

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Alberto Rotondi,Paolo Pedroni,Antonio Pievatoloesults that are not covered in review papers and other monog.Sampling consists of selection, acquisition, and quantification of a part of the population. While selection and acquisition apply to physical sampling units of the population, quantification pertains only to the variable of interest, whic