1st Edition

Probability With a View Towards Statistics, Volume I

By J. Hoffman-Jorgensen Copyright 1994
    630 Pages
    by Chapman & Hall

    Volume I of this two-volume text and reference work begins by providing a foundation in measure and integration theory. It then offers a systematic introduction to probability theory, and in particular, those parts that are used in statistics. This volume discusses the law of large numbers for independent and non-independent random variables, transforms, special distributions, convergence in law, the central limit theorem for normal and infinitely divisible laws, conditional expectations and martingales. Unusual topics include the uniqueness and convergence theorem for general transforms with characteristic functions, Laplace transforms, moment transforms and generating functions as special examples. The text contains substantive applications, e.g., epidemic models, the ballot problem, stock market models and water reservoir models, and discussion of the historical background. The exercise sets contain a variety of problems ranging from simple exercises to extensions of the theory.

    1: Design and planning of surface and underground mines; 1: Assessment of vibration measurements due to blasting of the hard formations at the South Field Lignite Mine, Ptolemais, Greece; 2: The transportation planning to the new panel of the longwall mechanized equipment in Tunçbilek Coal Mine; 3: New design approaches for mine ore passes based on reduced-scale laboratory testing, field experiments and computer modeling; 4: Assessment of explosive performance by detonation velocity measurements in Turkey; 5: A contribution to a better design and control of surface blasting; 6: Investigation of interrelationship of internal and external factors and parameters of ‘opencast’ system; 7: Geological modeling and mine planning for dimension stone quarries; 8: Planning nuggety vein-gold operations: Underground exploration, bulk sampling and resource reporting; 9: EOLAVAL, a mine ventilation planning tool; 10: The influence of strategic development options on the long-term quality variation of mined lignite – The case of the South Field Mine in Ptolemais, Greece; 11: Open stope cavity monitoring for the control of dilution and ore loss; 12: Methane safety of coal mining; 13: Analyses of valley fill stability and spoil handling techniques in mountainous areas; 14: The minimum total cost approach to optimum pit slope design; 15: Drivage of a new incline with a roadheader at Ombilin Coal Mine, Indonesia; 16: Design process and equipment selection for auxiliary ventilation systems; 17: Conceptual solution of the excavation method in ‘Biochki stan’ mine in Niksic, Yugoslavia; 18: Optimization of toe in bench Blasting – A practical view; 19: Selection of fan or fan location in ventilation of long drivages; 20: Prediction of Sarcheshmeh copper mine Blasting operation effects on nearby structure; 21: Development of the decentralized control mathematical model for the potash mine transport system; 22: Estimation of the situation in the mining output area; 23: Optimal development of the quarry’s working zone by the complex deposits exploitation; 24: A combined method for the analysis of mine ventilation networks; 25: Water balance and genesis of the inflows to some mines in Poland; 26: Measurement base for mine ventilation flow rate control-acoustic choice; 27: Geolog – Integrated system for the mining industry; 28: Mine design changes at Silver and Baryte’s bauxite operation; 29: Planing the safety in mines; 30: Technological wells schemes and location parameters optimization for uranium geotechnology; 2: Mining geostatistics and mine optimisation; 31: Indicator kriging approach to hazard definition ahead of coal mine development headings; 32: Geostatistical simulation: A framework to forecast fluctuations during mining; 33: Estimation of volumes of stripping and winning operations at opencasts using solid graphs; 34: Propsects for Zn-Pb ore mining in Poland with regard to ore quality in discovered deposits; 35: Changes of selected parameters of coal quality in fault zones in the Upper Silesian Coal Basin, Poland; 36: Linear programming model applied to scheduling of iron ore production at the Kiruna Mine, Sweden; 37: Geostatistical ore reserves estimation in deposits of variable dip: Application on a manganese deposit; 38: Resource and reserve analysis of Hasançelebi Iron Ore deposit, Turkey; 39: Geostatistical characterization of thermal impacts from floodplain mining; 40: GEMNet II – An alternative method for grade estimation; 41: Open pit design optimisation of a lignite deposit; 42: Indices of mineral raw materials use by different technological processes; 43: Geostatistical analysis and interpretation of the geotechnical properties of rock massif, Ceará State, Brazil; 44: A statistical approach to the thermogravimetric characteristics of Turkish coals; 3: Geotechnical stability in surface and underground mines; 45: LAMODEL – A boundary element program for coal mine design; 46: An improved approach to the room and pillar design: A case study from Zambia; 47: A primary stress state within deep shaft lining based on numerical modeling; 48: Determination of capacity of powered supports for a longwall face of a thick coal seam; 49: Some aspects about the prognosis of the ground deformations for the ore deposits; 50: Room and pillar design of Istanbul-Yenikoy coal field using finite element method; 51: Geomechanical situation at horizontal working connection; 52: Determination of behaviours of loads distribution on pillars when overlapping ledges mining; 53: Influence of Blast on stability of elements of mine methods when repeated mining of deposits; 54: Geotechnical features for quarrying abandoned underground marble voids: The Monte Altissimo example, Apuane Range; 55: Stability analysis of Maydook Copper mine; 56: The effect of shock load on the stability of tunnels; 57: Geomechanical analysis using simulated 3D natural joint networks; 58: Practical applicability of steel wire cable sensor for rock fall detection; 59: Definition of the roof strata movements in longwall mining method; 60: PREGAL – A program for choosing rockbolt support systems; 61: Plastic zones within the rock mass as a function of the shaft lining resistance; 62: High density spatial data collection for monitoring of steep wall movements; 63: Highwall mining system with backfilling; 64: The geomechanics and mine planning: A case study; 65: DB-BASE: A geomechanical database for destress Blasting applications in hard rock mines; 66: A method for analyzing and designing frictional rock bolting systems in room-and-pillar mining; 67: An application of integrated measuring technique for rock pressure determination in coal mines; 68: A case study for an open pit coal mine induced slope failure affecting an industrial plant in Turkey; 69: Optimisation of longwall face advance rate; 70: Major causes of accidents in tailing dam due to geological and geotechnical factors; 71: The importance of interlayer friction on the stability of underground bedded roofs; 72: Distribution of discontinuities in Jakub?ovice mine, South West of Ostrava City, Czech Republic; 73: Stability monitoring of open pit mines in Australia using GPS; 74: Modelling of discontinuity surface roughness by digital photogrammetry and geostatistical methods; 75: A critical assessment of an exploration pilot tunnel in adverse geological conditions: A case study; 76: Finite element modeling of underground openings in bedded rock; 77: Methods computer modelling and analysis of geomechanical processes; 78: Geotechnical investigations during underground tailing storage; 4: Mine evaluation – Financial and management issues; 79: Management of underground mine economy in the period of mining activity damping; 80: Optimizing a project’s true rate of return; 81: The prospects for the development of the Georgian coal mining industry: Comparison with alternative energy resources; 82: Owner versus contract mining; 83: The case study of Greek-EU relations and their effect on Greek mining; 84: Selected aspects of restructuring hard coal mining sector; 85: Innovative tools for performance improvement in CVRD mines; 86: System parameters modeling while planning the mining development program; 87: Albanian mineral industry and its trends in the future; 88: Ways of electric power saving at the coal mines of Ukraine; 89: Perspectives of mining stock improvement under crisis economics; 90: Problems of resource management at unprofitable mines; 91: How historical costing causes mine inefficiency; 92: The system of complex appreciate of anthracite mines; 93: Planning for mine safety and the management of risk; 94: Productivity measurement at the sectoral level: The case of Greek lignite mining; 5: Mine equipment selection; 95: A computer program for open pit mine equipment selection: TruckMac; 96: Experimental research of a soft start-up process of armoured face conveyor equipped with a water flow-controlled hydrodynamic coupling; 97: Determination of economic life of heavy earth moving machinery in mines; 98: Rippability assessment studies at Tunçbilek Coal Mine: A case study; 99: Safety in quarrying ornamental stones by using diamond wire; 100: The valuation of power efficiency of mining-transport systems work of open-pits; 101: Overview of roadheader applications in Turkish mining and civil construction industries; 102: High-performance rock destroying tool from modified solid alloy; 103: Dynamic model of a shearer’s cutting system; 104: Review of surface mining equipment selection techniques; 105: Problem with cracking of the rope disc welds; 106: Determination of tractive capacity of the drum of a multirope hoisting machine with due account of flexibility of its elastic liner; 107: The complex decision of a problem of open-pits excavator-automobile systems reproduction; 108: The impact of multi-element external coal transportation on reliability of the system and on environment; 109: Contribution to the study of cutting mechanism of Capão Bonito Granite, São Paulo State, Brazil; 110: The methodology of the selection of auxiliary mechanisation for the open pit mines of lignite; 111: Selection of current collection operation mode and power circuit design; 112: The conveyor belt wear index and its application in belts replacement policy; 113: The effect of conveyor belt load upon belt durability; 114: Effect of cutting tool angle on failure mechanism of rock in rock-tool interaction; 115: Prediction of roadheader performance: A geotechnical assessment scheme; 116: Computer simulation of the open pit transportation systems; 117: Assessment of the performance of raise boring 73 RM-DC at the Pongkor gold mine, West Java; 118: Rock technological parameters useful to water jet cutting systems; 119: Cost estimation of earthmoving done by hydraulic shovels and trucks in mines; 120: Application of LCC techniques in selection of mining equipment and technology; 121: Abrasives in water jet cutting systems; 122: Engineering ceramics for wear-protection of mining and mineral processing equipment; 123: Application of pre mixed abrasive water jet for maintenance of oil and gas ducts; 124: Aspects regarding the determination of the volume of the silo-wagons; 125: Investigation of the relationship between cutting angles and wearing on beads in diamond wire cutting method; 126: Performance and efficiency measures for mining equipment; 127: Basic factors estimation which define rotary blast hole drill production; 128: Wirtgen Surface Miner – New machine development and project experience; 129: Factors affecting loading performance of the excavators in Garp lignite enterprise; 130: Equipment replacement considerations; 131: Rock cutting resistance prognosis at the Libous model mining site based on newly developed method; 6: Innovative mining systems – Machine automation; 132: Alternative access, mining and hoisting for underground deposits; 133: Evaluation of mining equipment automation including process considerations and sensitivity analysis; 134: I-SiTE – Laser scanning revolutionises site survey; 135: The combined power is the technology of the 21st century; 136: Truck driver assisting devices to increase safety and productivity; 137: Steep angle conveying for material transportation in open cut mines; 138: Reflective seismic tomography to identify anomalies impacting underground developments; 139: The powerful excavator-dragline’s control for automatic accurate bucket positioning; 140: Automatic control interface for underground atmosphere parameters; 141: Software control for a drilling mining robot; 142: Innovative solutions for the overburden handling system of P.T. Freeport Indonesia; 143: Tests of experimental specimen of robotized unit for continuous blasting of hard ores; 144: New type of transport for deep open pits; 7: Information technologies in mining; 145: 3D modeling and reserve estimation of a coal deposit using neural networks; 146: Visual Basic implementation of the Maximum Value Neighbourhood algorithm to optimise stope boundaries; 147: Multicriteria choice of a lignite field for mine development and power plant construction; 148: Pattern recognition software for quality evaluation of mining machines; 149: A simulation algorithm for material flow from open pit mine to power plant: A case study; 150: Computer design and operation of quarries for non-metallic mineral industries: Case study at Lafarge Limestone Deposit in Turkey; 151: Development of mining management information system for Soma Open Pit Mines; 152: Object modelling of a belt conveyor; 153: A mine planning and information system merging specialized planning data with conventional office-files and process data via a three-dimensional model of underground mines; 154: Production information system of the Pljevlja coal mine; 155: Digital face mapping to assist mining operations; 156: Computer assisted planning for extraction of ornamental granite; 157: The use of geometrical-technical planning systems for support: A prerequisite for high-performance longwall operations; 158: Reliability assessment of mining equipment using genetic algorithms; 159: Using animations of mining operations as presentation models; 160: Application of genetic algorithms for the layout of openings in mines *; 8: Mining and the environment; 161: Economical aspects of possible pollution decreasing in mining industry of Kazakhstan; 162: The ecological rehabilitation of the Banat-Oravita area; 163: Environmental impact characterization of a tin mine in the northwest of Argentina; 164: Mine planning and closure issues in the 21st Century; 165: Noise of belt conveyors; 166: Monitoring of clay mine waste for utilization in the non-soil reclamation of mine waste dumps; 167: Geochemical studies to characterize the complex sulfur mineralogy at Red Dog Pb-Zn Mine; 168: Some aspects regarding the Romanian open pit lignite mining impact on soil; 169: Eliminating negative environmental impacts of large opencast mining equipment; 170: Mining aerology – Factor of ecological safety of environment; 171: The system of control of the general absorbed doze of a dust and definition of possible risk of disease mining worker; 172: Critical factors affecting rehabilitation of abandoned phosphogypsum stacks; 173: Radon dispersion air modeling in Banat mining area; 174: Reclamation and development of voids in the raw material industry in Lower Silesia, Poland; 175: Acoustic warning signals and design of restricted working areas in noisy environment; 176: The radiological protection during mining radioactive raw materials in the Czech Republic; 177: The environmental management of the coal mining activity in the Jiu valley; 178: Disposal of jarosite slurry in a lined tailings pond, Hindustan Zinc Limited, India; 179: Air quality control in quarries of technical stone; 180: Seed germination in Ruby Dock Rumex vesicarius (Fam. Polygonaceae); 181: Evaluation and modelling of haul road dust palliatives; 182: Underground gold-extracting plant

    Biography

    J. Hoffman-Jorgensen

    "...an exceptionally thorough and scholarly treatise on modern probability and selected major topics in mathematical statistics. The volumes provide an exciting and potentially profitable opportunity, both for reading and teaching...a fresh and exciting opportunity for researchers, instructors and students a like...the high quality of the main material made it difficult for me to put the books down long enough to complete this review."
    -Publication of the International Statistical Institute

    "...a useful text for library shelves and reference."
    -Journal of the Royal Statistical Society

    "...This is one of the few monographs which combines a deep and rigorous treatment of measure theory on the one hand with applications on the other hand."
    -Zbl. Math.