| Abstract: | This paper is an introduction to a theory of detection and estimation of change and introduces many new concepts and terminology (more than 36 are listed in section 7). It emphasizes the interplay of ideas (analogies between analogies) rather than complete statements of theorems; many of the proofs required fortunately can be assembled from results already in the literature. The concepts presented can provide a statistical technology, useable by consumers, which shows that much esoteric theory can be made exoteric (applicable by applied scientists who need not study the theory) and data analytic. Its contents are: (1) Introduction to Change Analysis; (2) Introduction to Brownian Bridge Dynamic Statistics; (3) Phases of Change Analysis; (4) Comparison Analysis and Non-parametric Statistical Inference; (5) Comparison Change Analysis as a Probability Concept; (6) Features of Sample Comparison Change Analysis; and (7) Concepts and terminology list. |
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