An Introduction to Probability and Stochastic Processes

An Introduction to Probability and Stochastic Processes

von Marc A. Berger
Taschenbuch - 9781461276432
74,89 €
  • Versandkostenfrei
  • Hinweis: Print on Demand. Lieferbar innerhalb von 7 bis 10 Tagen
  • inkl. MwSt. & Versandkosten (innerhalb Deutschlands)
  • Hinweis: Print on Demand. Lieferbar innerhalb von 7 bis 10 Tagen
  • inkl. MwSt. & Versandkosten (innerhalb Deutschlands)

Autorenfreundlich Bücher kaufen?!

Beschreibung

These notes were written as a result of my having taught a "nonmeasure theoretic" course in probability and stochastic processes a few times at the Weizmann Institute in Israel. I have tried to follow two principles. The first is to prove things "probabilistically" whenever possible without recourse to other branches of mathematics and in a notation that is as "probabilistic" as possible. Thus, for example, the asymptotics of pn for large n, where P is a stochastic matrix, is developed in Section V by using passage probabilities and hitting times rather than, say, pulling in Perron Frobenius theory or spectral analysis. Similarly in Section II the joint normal distribution is studied through conditional expectation rather than quadratic forms. The second principle I have tried to follow is to only prove results in their simple forms and to try to eliminate any minor technical com putations from proofs, so as to expose the most important steps. Steps in proofs or derivations that involve algebra or basic calculus are not shown; only steps involving, say, the use of independence or a dominated convergence argument or an assumptjon in a theorem are displayed. For example, in proving inversion formulas for characteristic functions I omit steps involving evaluation of basic trigonometric integrals and display details only where use is made of Fubini's Theorem or the Dominated Convergence Theorem.

Details

Verlag Springer New York
Ersterscheinung September 2011
Maße 235 mm x 155 mm x 12 mm
Gewicht 365 Gramm
Format Taschenbuch
ISBN-13 9781461276432
Auflage Softcover reprint of the original 1st ed. 1993
Seiten 236

Schlagwörter