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Many scientific endeavours demand precise quantitative information on probabilistic properties of parameters of combinatorial objects. This chapter introduce to combinatorial parameters and MGFs. This chapter presents the following content: Basics, moment calculations, OBGF examples, labelled classes. | ANALYTIC COMBINATORICS PART TWO http ac.cs.princeton.edu 3. Combinatorial Parameters and MGFs Analytic combinatorics overview A. SYMBOLIC METHOD 1. OGFs 2. EGFs 3. MGFs B. COMPLEX ASYMPTOTICS 4. Rational Meromorphic 5. Applications of R M 6. Singularity Analysis 7. Applications of SA 8. Saddle point specification SYMBOLIC METHOD GF equation COMPLEX ASYMPTOTICS asymptotic eStimate T desired result 2 ANALYTIC COMBINATORICS PART TWO http ac.cs.princeton.edu CAMBRIDGE Analytic Combinatorics Philippe Flajolet and Robert Sedgewick 3. Combinatorial parameters and MGFs Basics Moment calculations OBGF examples Labelled classes .
