دانلود کتاب Renewal Theory

Renewal theory arose from the study of 'self-renewing aggregates',but more recently has developed into the investigation of somegeneral results in the theory of probability connected with sums ofindependent non-negative random variables. These results are applicableto quite a wide range of practical probability problems. Theobject of this monograph is to present the main results in an appliedmathematical way. That is to say, the emphasis is on formulae thatcan be used to answer specific problems rather than on proofs oftheorems under conditions of the utmost generality.The monograph is intended for students and research workers instatistics and probability theory, and for others, especially those inoperational research, whose work involves the application of probabilitytheory. To understand the monograph, familiarity with elementaryprobability theory is essential. It is also desirable to knowabout the simpler properties of the Laplace transform; the relevantresults are, however, reviewed in one of the preliminary sections.