Statistics for Mining Engineering

Many areas of mining engineering gather and use statistical information, provided by observing the actual operation of equipment, their systems, the development of mining works, surface subsidence that accompanies underground mining, displacement of rocks surrounding surface pits and underground drives and longwalls, amongst others. In addition, the actual modern machines used in surface mining are equipped with diagnostic systems that automatically trace all important machine parameters and send this information to the main producer’s computer. Such data not only provide information on the technical properties of the machine but they also have a statistical character. Furthermore, all information gathered during stand and lab investigations where parts, assemblies and whole devices are tested in order to prove their usefulness, have a stochastic character. All of these materials need to be developed statistically and, more importantly, based on these results mining engineers must make decisions whether to undertake actions, connected with the further operation of the machines, the further development of the works, etc. For these reasons, knowledge of modern statistics is necessary for mining engineers; not only as to how statistical analysis of data should be conducted and statistical synthesis should be done, but also as to understanding the results obtained and how to use them to make appropriate decisions in relation to the mining operation. This book on statistical analysis and synthesis starts with a short repetition of probability theory and also includes a special section on statistical prediction. The text is illustrated with many examples taken from mining practice; moreover the tables required to conduct statistical inference are included. "Knowledge about modern statistics is necessary for mining engineers; not only on how statistical analysis of data should be conducted and statistical synthesis should be done, but also on understanding the results obtained and how to use them to make appropriate decisions connected with a mining operation. This book on statistical analysis and synthesis is preceded by a short repetition of the probability theory. A special section about statistical prediction is also included. The text is illustrated by many examples taken from mine practice, moreover the tables required to conduct statistical inference are attached"-- Provided by publisher Front Cover 1 Contents 6 Preface and acknowledgements 10 About the author 12 List of major notations 14 1. Fundamentals 16 2. Some areas of the application of mathematical statistics in mining 64 3. Analysis of data 70 4. Synthesis of data 126 5. Relationships between random variables 156 6. Synthesis of data—regression analysis 172 7. Special topic: Prediction 222 8. Explanations of some important terms 246 9. Statistical tables 250 References 280 Many areas within mining engineering gather and use information that is statistical in nature. This information is provided by observing the realities of activities such as the operation of pieces of equipment and their systems, the processes of the development of mining works, the surface subsidence that accompanies underground mining, the displacement of rocks surrounding surface pits and underground drives and longwalls, etc