Archive For The “Probability” Category
By Feller W.
Significant alterations during this version comprise the substitution of probabilistic arguments for combinatorial artifices, and the addition of recent sections on branching procedures, Markov chains, and the De Moivre-Laplace theorem.
By O. Barndorff-Nielsen
ISBN-10: 1118857283
ISBN-13: 9781118857281
ISBN-10: 111885750X
ISBN-13: 9781118857502
First released by way of Wiley in 1978, this publication is being re-issued with a brand new Preface by way of the writer. The roots of the e-book lie within the writings of RA Fisher either as issues effects and the overall stance to statistical technological know-how, and this stance was once the deciding on think about the author's choice of issues. His treatise brings jointly effects on facets of statistical info, significantly referring to chance services, plausibility services, ancillarity, and sufficiency, and on exponential households of likelihood distributions.
By Papoulis A., Pillai S.U.
By P.A.P. Moran
ISBN-10: 0198543433
ISBN-13: 9780198543435
By Thomas Wake Epps
ISBN-10: 9814513156
ISBN-13: 9789814513159
This e-book offers the speculation of chance and mathematical information at a degree appropriate for researchers on the frontiers of utilized disciplines. Examples and routines make crucial strategies in degree conception and research available to these with guidance constrained to vector calculus. entire, distinct recommendations to all of the workouts display recommendations of challenge fixing and supply rapid suggestions.
half I, the speculation of chance, starts off with ordinary set idea and proceeds via uncomplicated degree and chance, random variables, integration and mathematical expectation. It concludes with an in depth survey of versions for distributions of random variables. half II, the idea of records, starts with sampling thought and distribution concept for data from general populations, proceeds to asymptotic (large-sample) concept, and directly to aspect and period estimation and assessments of parametric hypotheses. The final 3 chapters hide exams of nonparametric hypotheses, Bayesian equipment, and linear and nonlinear regression.
Researchers and graduate scholars in utilized fields resembling actuarial technology, biostatistics, economics, finance, mathematical psychology, and structures engineering will locate this booklet to be a necessary studying device and an important reference.
By Hall E. H.
By Metivier M.
By Henri Poincaré
Excerpt from Calcul des Probabilités
Le most suitable exemple que nous allons choisir est celui de l'équilibre instable; si un cône repose sur sa pointe, nous savons bien qu'il va tomber, mais nous ne savons pas de quel côté; il nous semble que le hasard seul va en décider. Si le cône était parfaitement symétrique, si son awl était_ parfaitement vertical, s'il n'était soumis à aucune autre strength que los angeles pesanteur, il ne tomberait pas du tout. Mais le moindre défaut de symétrie va le faire pencher légèrement d'un côté ou de l'autre, et dès qu'il penchera, si peu que ce soit, il tombera tout à fait de ce côté. Si même los angeles symétrie est parfaite, une trépidation très légère, un soufi°le d'air pourra le faire incliner dequelques secondes d'arc; ce sera assez pour déterminer sa chute et même le sens de sa chute qui sera celui de l'inclinaison initiale.
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