pdf Wave Mechanics of Risk: A New Paradigm for Actuarial Science - Numerical Recipes
por Pr. Abdelkader BOUSABAA
Descrição do livro
The computational companion to Wave Mechanics of Risk. The first volume argued a case: that catastrophe risk behaves less like a random variable than like a wave — one that propagates, interferes, and occasionally tunnels through barriers that classical theory declares impassable. This second volume does the arithmetic. In strict chapter-by-chapter correspondence with the first, it supplies the formal apparatus behind the intuition: the actuarial Schrödinger equation and its spectrum, the conditional Born rule, interference and entanglement of risks, the frequency–severity uncertainty relation, energy-level pricing, wave-based reserving, barrier penetration in reinsurance, portfolio decoherence and its link to the Solvency II capital requirement, and the catastrophe chapters brought to computational form. Inside: twelve numbered chapters in one-to-one correspondence with Volume I · 68 theorems and 54 propositions, with 121 complete proofs · 25 numerical recipes, each stated as an algorithm you can implement · 30 fully worked examples, reproducible line by line from their printed assumptions · a detailed index and 109 references. Every parameter is labelled for what it is. Where a figure is illustrative rather than calibrated, the book says so; where a claim is a conjecture awaiting empirical test, it is marked as one. The aim is a framework a practitioner can audit, not a set of results to take on trust. The printed book is half of the project. The companion site at quantum.abdelkader.site carries the Python implementation of every recipe, the datasets behind every worked example, and an interactive application in which the mathematics can be explored, modified, and run. Written for actuaries, quantitative risk managers, doctoral students in actuarial science, and physicists curious about where their formalism travels. No prior physics is assumed.
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