For determining the digital characteristics of technical- economical indices according to statistical information received during the process of operating ITS, the functions of assessing mathematical probability
as well as correlation and dispersion should be calculated.
In this appendix she observes: "The frequent reference to the concept of probability [in this book] no doubt reminds the reader of mathematical notions of probability and of contemporary discussion of the role of mathematical probability and the law" (p.
Or did they reject mathematical analysis simply because (e) they did not understand mathematical probability or because (f) they sensed that the mathematical theories of probability of their day were not rich enough to capture the true complexity of problems of evidence in the law?
Wigmore's intellectual ancestors were not mathematical probability theorists such as James Bemoulli, who discovered the "law of large numbers," or the Reverend Thomas Bayes, who formulated the theorem now known as "Bayes' Theorem." Instead, judging by the citations and quotations in Wigmore's justly celebrated treatise on the law of evidence, Wigmore was influenced by figures such as Jeremy Bentham and John Stuart Mill.(72) Of course, both Bentham and Mill believed that proof is a matter of probabilities.
Chapter 3 takes the reader deeper into the concept of evidence and touches upon logic theory and the use of mathematical probability
measures to support audit conclusions.
According to the formula of total mathematical probability
we shall find:
This is the first complete English translation of Jacob Bernoulli's Ars Conjectandi, published posthumously in Latin in 1713 and considered by translator Sylla (history, North Carolina State U.) to be the founding document of mathematical probability
. The work begins with a reprint of Huygen's Reckoning in Games of Chance, interspersed with Bernoulli's notes and alternative methods of solving Huygen's problems.
For instance, consider the mathematical probability
of breast cancer occurring in a 40-year-old woman who's had a positive mammography test.
Perhaps most fundamentally, Bold discovers that Pascal, in his work on projective geometry, experimental science, and mathematical probability
, and even in the Perishes, establishes an inventive approach that is 'not in the end based on a reduction but rather on a framing or an orientation of multiplicity' (p.