Justin Jacobs
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Justin Jacobs
Justin Wayne Jacobs (born 1981) is an American statistician, currently serving as the Senior Basketball Researcher with the Orlando Magic. Jacobs is a former applied research mathematician at the National Security Agency, and an independent sports analytics researcher. Noted for his research into geolocation, geospatial statistics and spatio-temporal statistics, Jacobs was awarded a National Intelligence Medallion from the ODNI in January 2014 by the Director of National Intelligence as well as the Presidential Early Career Award for Science and Engineering (PECASE) in April 2014 by President Barack Obama. Life Jacobs earned his Bachelor of Science (B.S.) degrees in mathematics and software engineering at Carroll University in Waukesha, Wisconsin in 2003; his Master of Science (M.S.) degree in mathematics at University of Wisconsin–Milwaukee in 2005, and his Ph.D. in statistics at University of Maryland Baltimore County in 2014. Jacobs is a former NCAA basketball player, is ...
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Cleveland
Cleveland ( ), officially the City of Cleveland, is a city in the U.S. state of Ohio and the county seat of Cuyahoga County. Located in the northeastern part of the state, it is situated along the southern shore of Lake Erie, across the U.S. maritime border with Canada, northeast of Cincinnati, northeast of Columbus, and approximately west of Pennsylvania. The largest city on Lake Erie and one of the major cities of the Great Lakes region, Cleveland ranks as the 54th-largest city in the U.S. with a 2020 population of 372,624. The city anchors both the Greater Cleveland metropolitan statistical area (MSA) and the larger Cleveland–Akron–Canton combined statistical area (CSA). The CSA is the most populous in Ohio and the 17th largest in the country, with a population of 3.63 million in 2020, while the MSA ranks as 34th largest at 2.09 million. Cleveland was founded in 1796 near the mouth of the Cuyahoga River by General Moses Cleaveland, after whom the city was named ...
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Director Of National Intelligence
The director of national intelligence (DNI) is a senior, cabinet-level United States government official, required by the Intelligence Reform and Terrorism Prevention Act of 2004 to serve as executive head of the United States Intelligence Community (IC) and to direct and oversee the National Intelligence Program (NIP). All IC agencies report directly to the DNI. The DNI also serves, upon invitation, as an advisor to the president of the United States, the National Security Council and the Homeland Security Council on all intelligence matters. The DNI, supported by the Office of the Director of National Intelligence (ODNI), produces the President's Daily Brief (PDB), a top-secret document including intelligence from all IC agencies, handed each morning to the president of the United States. President George W. Bush strengthened the role of the DNI on July 30, 2008, with Executive Order 13470, which, among other things, solidified the DNI's authority to set goals for intelligenc ...
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Pareto Distribution
The Pareto distribution, named after the Italian civil engineer, economist, and sociologist Vilfredo Pareto ( ), is a power-law probability distribution that is used in description of social, quality control, scientific, geophysical, actuarial, and many other types of observable phenomena; the principle originally applied to describing the distribution of wealth in a society, fitting the trend that a large portion of wealth is held by a small fraction of the population. The Pareto principle or "80-20 rule" stating that 80% of outcomes are due to 20% of causes was named in honour of Pareto, but the concepts are distinct, and only Pareto distributions with shape value () of log45 ≈ 1.16 precisely reflect it. Empirical observation has shown that this 80-20 distribution fits a wide range of cases, including natural phenomena and human activities. Definitions If ''X'' is a random variable with a Pareto (Type I) distribution, then the probability that ''X'' is ...
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Exponential Distribution
In probability theory and statistics, the exponential distribution is the probability distribution of the time between events in a Poisson point process, i.e., a process in which events occur continuously and independently at a constant average rate. It is a particular case of the gamma distribution. It is the continuous analogue of the geometric distribution, and it has the key property of being memoryless. In addition to being used for the analysis of Poisson point processes it is found in various other contexts. The exponential distribution is not the same as the class of exponential families of distributions. This is a large class of probability distributions that includes the exponential distribution as one of its members, but also includes many other distributions, like the normal, binomial, gamma, and Poisson distributions. Definitions Probability density function The probability density function (pdf) of an exponential distribution is : f(x;\lambda) = \begin \lambda ...
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Confidence Interval
In frequentist statistics, a confidence interval (CI) is a range of estimates for an unknown parameter. A confidence interval is computed at a designated ''confidence level''; the 95% confidence level is most common, but other levels, such as 90% or 99%, are sometimes used. The confidence level represents the long-run proportion of corresponding CIs that contain the true value of the parameter. For example, out of all intervals computed at the 95% level, 95% of them should contain the parameter's true value. Factors affecting the width of the CI include the sample size, the variability in the sample, and the confidence level. All else being the same, a larger sample produces a narrower confidence interval, greater variability in the sample produces a wider confidence interval, and a higher confidence level produces a wider confidence interval. Definition Let be a random sample from a probability distribution with statistical parameter , which is a quantity to be estimate ...
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Basketball
Basketball is a team sport in which two teams, most commonly of five players each, opposing one another on a rectangular Basketball court, court, compete with the primary objective of #Shooting, shooting a basketball (ball), basketball (approximately in diameter) through the defender's hoop (a basket in diameter mounted high to a Backboard (basketball), backboard at each end of the court, while preventing the opposing team from shooting through their own hoop. A Field goal (basketball), field goal is worth two points, unless made from behind the 3 point line, three-point line, when it is worth three. After a foul, timed play stops and the player fouled or designated to shoot a technical foul is given one, two or three one-point free throws. The team with the most points at the end of the game wins, but if regulation play expires with the score tied, an additional period of play (Overtime (sports), overtime) is mandated. Players advance the ball by bouncing it while walking ...
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NCAA
The National Collegiate Athletic Association (NCAA) is a nonprofit organization that regulates student athletics among about 1,100 schools in the United States, Canada, and Puerto Rico. It also organizes the athletic programs of colleges and universities in the United States and Canada and helps over 500,000 college student athletes who compete annually in college sports. The organization is headquartered in Indianapolis, Indiana. Until 1957, the NCAA was a single division for all schools. That year, the NCAA split into the University Division and the College Division. In August 1973, the current three-division system of Division I, Division II, and Division III was adopted by the NCAA membership in a special convention. Under NCAA rules, Division I and Division II schools can offer scholarships to athletes for playing a sport. Division III schools may not offer any athletic scholarships. Generally, larger schools compete in Division I and smaller schools in II and III. ...
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University Of Maryland Baltimore County
The University of Maryland, Baltimore County (UMBC) is a public research university in Baltimore County, Maryland. It has a fall 2022 enrollment of 13,991 students, 61 undergraduate majors, over 92 graduate programs (38 master, 25 doctoral, and 29 graduate certificate programs) and the first university research park in Maryland. It is classified among "R1: Doctoral Universities – Very High Research Activity". Established as a part of the University System of Maryland in 1966, the university became the first public college or university in Maryland to be inclusive of all races. UMBC has the fourth highest enrollment of the University System of Maryland, specializing in natural sciences and engineering, as well as programs in the liberal arts and social sciences. Athletically, the UMBC Retrievers have 17 NCAA Division I teams that participate in the America East Conference. History The planning of the University of Maryland, Baltimore County was first discussed in the 19 ...
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University Of Wisconsin–Milwaukee
The University of Wisconsin–Milwaukee (UW–Milwaukee, UWM, or Milwaukee) is a Public university, public Urban university, urban research university in Milwaukee, Wisconsin. It is the largest university in the Milwaukee metropolitan area and a member of the University of Wisconsin System. It is also one of the two Doctorate, doctoral degree-granting public universities and the second largest university in Wisconsin. The university consists of 14 schools and colleges, including the only graduate school of freshwater science in the U.S., the first Council on Education for Public Health, CEPH accredited dedicated school of public health in Wisconsin, and the state's only school of architecture. As of the 2015–2016 school year, the University of Wisconsin–Milwaukee had an enrollment of 27,156, with 1,604 faculty members, offering 191 degree programs, including 94 Bachelor's degree, bachelor's, 64 Master's degree, master's and 33 doctorate degrees. The university is Carnegie ...
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Waukesha, Wisconsin
Waukesha ( ) is the county seat of Waukesha County, Wisconsin, United States. It is part of the Milwaukee metropolitan area. Its population was 71,158 at the 2020 census. The city is adjacent to the Village of Waukesha. History The area that Waukesha now encompasses was first settled by European-Americans in 1834, with Morris D. Cutler as its first settler. When the first settlers arrived, there was nothing but dense virgin forest and wild prairie. The settlers laid out farms, constructed roads, erected government buildings and established post routes. The original founders of Waukesha consisted entirely of settlers from New England, particularly Connecticut, rural Massachusetts, Vermont, New Hampshire and Maine, as well some from upstate New York who were born to parents who had migrated to that region from New England shortly after the American Revolution. These people were "Yankee" settlers. In other words, they were descended from the English Puritans who settled New Engl ...
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Software Engineering
Software engineering is a systematic engineering approach to software development. A software engineer is a person who applies the principles of software engineering to design, develop, maintain, test, and evaluate computer software. The term '' programmer'' is sometimes used as a synonym, but may also lack connotations of engineering education or skills. Engineering techniques are used to inform the software development process which involves the definition, implementation, assessment, measurement, management, change, and improvement of the software life cycle process itself. It heavily uses software configuration management which is about systematically controlling changes to the configuration, and maintaining the integrity and traceability of the configuration and code throughout the system life cycle. Modern processes use software versioning. History Beginning in the 1960s, software engineering was seen as its own type of engineering. Additionally, the development of soft ...
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Mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of ...
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