Statistics for mining engineering. ([2014])

• Record Type: Book
• Further Information: Note: Jacek M. Czaplicki, Mining Mechanization Institute, Silesian University of Technology, Giliwice, Poland.
• Other Names: Czaplicki, Jacek M
• Contents: Fundamentals 1.1. Goal and task of statistics 1.2. Basic terms of probability theory 1.3. Basic terms of statistical inference Some areas of application of mathematical statistics in mining Analysis of data 3.1. Testing of sample randomness 3.2. An outlier in a sample 3.3. Stationarity testing of sequences 3.4. Outcome dispersion testing 3.5. Cyclic component tracing 3.6. Autocorrelation analysis 3.7. Homogeneity of data Synthesis of data 4.1. Estimation of the parameters of a random variable 4.2. Probability distribution description 4.3. An example of empirical–theoretical inference about the distribution of a random variable Relationships between random variables 5.1. The chi-square test of independence 5.2. The Pearson’s linear correlation coefficient 5.3. Partial correlation coefficient and multiple correlation coefficient 5.4. Non-linear correlation measures Synthesis of data—regression analysis 6.1. Preliminary remarks 6.2. Linear regression 6.3. Linear transformations and multidimensional models 6.4. Autocorrelation and autoregression models 6.5. Classical linear regression for many variables 6.6. Regression with errors in values of random variables 6.7. Linear regression with additional information Special topic: Prediction 7.1. Introduction and basic terms 7.2. Subject of prediction 7.3. Examples Explanations of some important terms Statistical tables 9.1. Distribution function Φ(z ) of standardised normal distribution N (0, 1). 9.2. Quantiles of the standardised normal distribution N (0, 1) 9.3. Critical values of the Student’s t -distribution 9.4. Critical values of the Chi-squared distribution 9.5. Critical values of the Snedecor’s F distribution for α = 0.10 9.6. Critical values of the Snedecor’s F distribution for α = 0.05 9.7. Critical values of the Snedecor’s F distribution for α = 0.025 9.8. Critical values of the series distribution 9.9. Critical values of the Cochran statistic for α = 0.05 9.10. Critical values of the Hartley statistic for α = 0.05 9.11. Quantiles of the Poisson distribution 9.12. Critical values in Kolmogorov test of goodness-of-fit 9.13. Critical values of a linear correlation coefficient and a partial correlation coefficient 9.14. Critical values of the Spearman’s rank correlation coefficient 9.15. Critical values of a multiple correlation coefficient 9.16a. Critical values Dn, m (α) in the Smirnov test of goodness-of-fit for two empirical distributions 9.16b.Distribution of the Smirnov statistic Dn, m P {Dn, m ≤ k/n } 9.17. Critical values α(2n, 2m ) of the distribution References Subject index
• Publisher Details: London [England] : CRC Press/Balkema is an imprint of the Taylor & Francis Group, an informa business
• Publication Date: 2014
• Copyright Date: 2014
• Extent: 1 online resource, illustrations
• Subjects: 519.5; Mining engineering -- Statistical methods; MATHEMATICS -- Probability & Statistics -- General; TECHNOLOGY & ENGINEERING -- Construction -- General; TECHNOLOGY & ENGINEERING -- Civil -- Soil & Rock; Mining engineering -- Statistical methods; Electronic books
• Languages: English
• ISBNs: 9781138001138; 1138001139; 9781315815039; 1315815036
• Notes: Note: Includes bibliographical references.; Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.