An Intermediate Course in Probability
āĻāĻĒā§ā§°āĻŋāĻ˛ ā§¨ā§Ļā§§ā§Š ¡ Springer Science & Business Media
āĻāĻŦā§āĻ
278
āĻĒā§āĻˇā§āĻ āĻž
reportāĻŽā§āĻ˛ā§āĻ¯āĻžāĻāĻāĻ¨ āĻā§°ā§ āĻĒā§°ā§āĻ¯āĻžāĻ˛ā§āĻāĻ¨āĻž āĻ¸āĻ¤ā§āĻ¯āĻžāĻĒāĻ¨ āĻā§°āĻž āĻšā§ā§ąāĻž āĻ¨āĻžāĻ  āĻ
āĻ§āĻŋāĻ āĻāĻžāĻ¨āĻ
āĻāĻ āĻāĻŦā§āĻāĻāĻ¨ā§° āĻŦāĻŋāĻˇā§ā§
The purpose of this book is to provide the reader with a solid background and understanding of the basic results and methods in probability the ory before entering into more advanced courses (in probability and/or statistics). The presentation is fairly thorough and detailed with many solved examples. Several examples are solved with different methods in order to illustrate their different levels of sophistication, their pros, and their cons. The motivation for this style of exposition is that experi ence has proved that the hard part in courses of this kind usually in the application of the results and methods; to know how, when, and where to apply what; and then, technically, to solve a given problem once one knows how to proceed. Exercises are spread out along the way, and every chapter ends with a large selection of problems. Chapters I through VI focus on some central areas of what might be called pure probability theory: multivariate random variables, condi tioning, transforms, order variables, the multivariate normal distribution, and convergence. A final chapter is devoted to the Poisson process be cause of its fundamental role in the theory of stochastic processes, but also because it provides an excellent application of the results and meth ods acquired earlier in the book. As an extra bonus, several facts about this process, which are frequently more or less taken for granted, are thereby properly verified.
āĻāĻ āĻāĻŦā§āĻāĻāĻ¨āĻ āĻŽā§āĻ˛ā§āĻ¯āĻžāĻāĻāĻ¨ āĻā§°āĻ
āĻāĻŽāĻžāĻ āĻāĻĒā§āĻ¨āĻžā§° āĻŽāĻ¤āĻžāĻŽāĻ¤ āĻāĻ¨āĻžāĻāĻāĨ¤
āĻĒāĻĸāĻŧāĻžā§° āĻ¨āĻŋāĻ°ā§āĻĻā§āĻļāĻžā§ąāĻ˛ā§
āĻ¸ā§āĻŽāĻžā§°ā§āĻāĻĢâāĻ¨ āĻā§°ā§ āĻā§āĻŦāĻ˛ā§āĻ
Android āĻā§°ā§ iPad/iPhoneā§° āĻŦāĻžāĻŦā§ Google Play Books āĻāĻĒāĻā§ āĻāĻ¨āĻˇā§āĻāĻ˛ āĻā§°āĻāĨ¤ āĻ āĻ¸ā§āĻŦāĻ¯āĻŧāĻāĻā§āĻ°āĻŋāĻ¯āĻŧāĻāĻžā§ąā§ āĻāĻĒā§āĻ¨āĻžā§° āĻāĻāĻžāĻāĻŖā§āĻā§° āĻ¸ā§āĻ¤ā§ āĻāĻŋāĻāĻ āĻšāĻ¯āĻŧ āĻā§°ā§ āĻāĻĒā§āĻ¨āĻŋ āĻ¯'āĻ¤ā§ āĻ¨āĻžāĻĨāĻžāĻāĻ āĻ¤'āĻ¤ā§āĻ āĻā§āĻ¨ā§ āĻ
āĻĄāĻŋāĻ
'āĻŦā§āĻ āĻ
āĻ¨āĻ˛āĻžāĻāĻ¨ āĻŦāĻž āĻ
āĻĢāĻ˛āĻžāĻāĻ¨āĻ¤ āĻļā§āĻ¨āĻŋāĻŦāĻ˛ā§ āĻ¸ā§āĻŦāĻŋāĻ§āĻž āĻĻāĻŋāĻ¯āĻŧā§āĨ¤
āĻ˛ā§āĻĒāĻāĻĒ āĻā§°ā§ āĻāĻŽā§āĻĒāĻŋāĻāĻāĻžā§°
āĻāĻĒā§āĻ¨āĻŋ āĻāĻŽā§āĻĒāĻŋāĻāĻāĻžā§°ā§° ā§ąā§āĻŦ āĻŦā§āĻ°āĻžāĻāĻāĻžā§° āĻŦā§āĻ¯ā§ąāĻšāĻžā§° āĻā§°āĻŋ Google PlayāĻ¤ āĻāĻŋāĻ¨āĻž āĻ
āĻĄāĻŋāĻ
'āĻŦā§āĻāĻ¸āĻŽā§āĻš āĻļā§āĻ¨āĻŋāĻŦ āĻĒāĻžā§°ā§āĨ¤
āĻ-ā§°ā§āĻĄāĻžā§° āĻā§°ā§ āĻ
āĻ¨ā§āĻ¯ āĻĄāĻŋāĻāĻžāĻāĻ
Kobo eReadersā§° āĻĻā§°ā§ āĻ-āĻāĻŋā§āĻžāĻāĻšā§ā§° āĻĄāĻŋāĻāĻžāĻāĻāĻ¸āĻŽā§āĻšāĻ¤ āĻĒā§āĻŋāĻŦāĻ˛ā§, āĻāĻĒā§āĻ¨āĻŋ āĻāĻāĻž āĻĢāĻžāĻāĻ˛ āĻĄāĻžāĻāĻ¨āĻ˛âāĻĄ āĻā§°āĻŋ āĻ¸ā§āĻāĻā§ āĻāĻĒā§āĻ¨āĻžā§° āĻĄāĻŋāĻāĻžāĻāĻāĻ˛ā§ āĻ¸ā§āĻĨāĻžāĻ¨āĻžāĻ¨ā§āĻ¤ā§°āĻŖ āĻā§°āĻŋāĻŦ āĻ˛āĻžāĻāĻŋāĻŦāĨ¤ āĻ¸āĻŽā§°ā§āĻĨāĻŋāĻ¤ āĻ-ā§°āĻŋāĻĄāĻžā§°āĻ˛ā§ āĻĢāĻžāĻāĻ˛āĻā§ āĻā§āĻ¨ā§āĻā§ āĻ¸ā§āĻĨāĻžāĻ¨āĻžāĻ¨ā§āĻ¤ā§° āĻā§°āĻŋāĻŦ āĻāĻžāĻ¨āĻŋāĻŦāĻ˛ā§ āĻ¸āĻšāĻžāĻ¯āĻŧ āĻā§āĻ¨ā§āĻĻā§ā§°āĻ¤ āĻĨāĻāĻž āĻ¸āĻŦāĻŋāĻļā§āĻˇ āĻ¨āĻŋā§°ā§āĻĻā§āĻļāĻžā§ąāĻ˛ā§ āĻāĻžāĻāĻāĨ¤
