Statistics and Analysis of Scientific Data

• Main Author: Bonamente, Massimiliano (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2017.
• Edition: 2nd ed. 2017.
• Series: Graduate Texts in Physics,
• Subjects: Physics.; System theory.; Statistics.; Applied mathematics.; Engineering mathematics.; Mathematical Methods in Physics.; Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences.; Statistics for Business/Economics/Mathematical Finance/Insurance.; Appl.Mathematics/Computational Methods of Engineering.; Complex Systems.; Statistical Physics and Dynamical Systems.

The revised second edition of this textbook provides the reader with a solid foundation in probability theory and statistics as applied to the physical sciences, engineering and related fields. It covers a broad range of numerical and analytical methods that are essential for the correct analysis of...

Table of Contents:

• Theory of Probability
• Random Variables and Their Distribution
• Sum and Functions of Random Variables
• Estimate of Mean and Variance and Confidence Intervals
• Median, Weighted Mean and Linear Average (NEW)
• Distribution Function of Statistics and Hypothesis Testing
• Maximum Likelihood Fit to a Two-Variable Dataset
• Goodness of Fit and Parameter Uncertainty
• Systematic Errors and Intrinsic Scatter (NEW)
• Fitting Data with Bivariate Errors (NEW)
• Comparison Between Models
• Monte Carlo Methods
• Markov Chains and Monte Carlo Markov Chains
• Statistics for Business Sciences and Addition of Multi–Variate Analysis (NEW).