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Steven Scott has written of the use of Bayesian statistics to deter fraud against consumers, noting: The idea behind Bayesian statistics is to create a probability distribution describing your subjective belief about some uncertain quantity and to update the distribution using Bayes rule as relevant data become known It is the updating that makes Bayesian statistics a science 11 He goes on to note that AT&T, for example, uses such calculations to help prevent losses to long-distance fraud that are about $4 billion a year, on an industry basis Using Bayesian statistics, AT&T can update a customer s calling patterns to spot calls that might be indicative of fraudulent activity by a third party.

XUL document, we are describing the look and feel of a software application. By using XUL and its complementary technologies, Mozilla.org was able to build their entire browser, eliminating the need for porting the user interface code across multiple platforms and creating a user interface that can be easily changed by Web developers.

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Thus the Bayesian profile of the customer s normal calls, updated and weighed in various sophisticated ways, becomes a fairly active indicator of when a number, account, or even switch has been taken over by persons intent on committing fraud Such techniques are also used by credit card companies to prevent theft or fraud losses and by computer companies and organizations to detect hackers12 Credit scores in general affect many of the everyday payments we make for mortgages, auto loans, and other forms of financing Fair, Isaac and Company (FICO) scores are used to rate consumers as to their credit-worthiness and can have a significant impact on the interest rates charged For example, as of April 2002, depending on one s credit score in the FICO system, the rates for a 60-month auto loan could vary from 559 to 10.

where the n ` matrix Hy is de ned as the Moore Penrose generalized inverse (de ned in Appendix B) of the ` n matrix H. This information matrix will be singular if ` < n (i.e., there are fewer sensor outputs than unknown variables), which is not unusual for GPS=INS integration.

95 percent, and the rates for a 30-year mortgage from 6851 to 8664 percent13 We each profile one another dozens of times a day, sometimes for good or bad reasons, but it is one of the most common of human traits Sociologists might call it stereotyping, but the hundreds of social interactions that occur in a typical day might be different and strange without it When used in law enforcement activities, the courts have recognized that the totality of the officer s observations and experience is the basis for a probable cause judgment, such as whether to stop a suspicious vehicle Writing in The Police Chief magazine, Michael Whalen cited one recent case on this subject, United States v Arvizu, noting: The US Supreme Court s recent ruling in United States v.

The payment schedule which must be used when the true 9 percent market interest rate is charged on the true imputed principal amount (sales price) is as follows: End Year 2000 2001 2002 2003 2004 Principal Balance* $416,208 366,208 279,167 189,292 96,328 Imputed Rate 9% 9 9 9 9 Interest Payment $32,959 25,125 17,036 8,672 $83,792 Principal Payment $050,000 87,041 89,875 92,964 96,328 $416,208 Total Payment $050,000 120,000 115,000 110,000 105,000 $500,000

Arvizu continues a series of decisions that recognize the inexact science of determining probable cause and reasonable suspicion and the importance of teaching officers to document all of the facts leading to their decision to make a stop or conduct a search 14.

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Campbell, PM, TG Pottinger & JP Sumpter (1992) Stress reduces the quality of gametes produced by rainbow trout Biology of Reproduction, 47 (6), 1140 1150 Campbell, WB, JM Emlen & W Hershberger (1998) Thermally induced chronic development stress in coho salmon: integrating measures of mortality, early growth and developmental instability Oikos, 81, 398 410 Carragher, JF & JP Sumpter (1991) The mobilization of calcium from calci ed tissues of rainbow trout (Oncorhynchus mykiss) induced to synthesize vitellogenin Comparative Biochemistry and Physiology, A99 (1 2), 169 172 Carter, CG, DF Houlihan, J Brechin & ID McCarthy (1993a) The relationships between protein intake and protein accretion, synthesis, and retention ef ciency for individual grass carp, Ctenopharyngodon idella (Valenciennes) Canadian Journal of Zoology, 71, 392 400 Carter, CG, DF Houlihan, B Buchanan & AI.

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