[3] viXra:2008.0131 [pdf] submitted on 2020-08-18 20:30:23
Authors: Glenn Healey, Lequan Wang
Comments: 24 Pages.
An accurate model for the lift force on a baseball is important for several applications. The precision of previous models has been limited by the use of small samples of measurements acquired in controlled experiments. The increased prevalence of ball-tracking radar systems provides an abundant source of data for modeling, but the effective use of these data requires overcoming several challenges. We develop a new model that uses this radar data and is constrained by the physical principles and measurements derived from the controlled experiments. The modeling process accounts for the uncertainty in different data sources while exploiting the size and diversity of the radar measurements to mitigate the effects of systematic biases, outliers, and the lack of geometric information that is typically available in controlled experiments. Fine-grained weather data is associated with each radar measurement to enable compensation for the local air density. We show that the new model is accurate enough to capture changes in lift due to small changes in surface roughness which could not be discerned by previous models.
Category: Statistics
[2] viXra:2008.0107 [pdf] submitted on 2020-08-15 11:37:29
Authors: Idd Sifael Omary, Ngong-homa Jackson, Timothy A. Peter
Comments: 35 Pages. BSc. (Mathematics and Statistics) Research Report Mwenge Catholic University July, 2016.
Completion Rate and Enrollment forecasting is an essential element in budgeting, resource allocation, and the overall planning for the growth of education sector. Our paper purposeful demonstrated the use of Markov chain techniques in studying progression of BSMST Programme Students from the time of entry/enrollment in each academic year to graduation after the expected year of study in MWECAU. The target population included all BSMST programme students in MWECAU from 2013 to 2015. The model used to determine the student’s completion/dropout rate, retention rate and the expected duration of completing by sex. We established the completion rates for male students and that of female students and dropout rates. We saw how long Markov Transition Probability Matrices of BSMST students at MWECAU will be at a steady state. How the established completion and dropout rates will be in Absorbing rates/States. Also we saw female expectation of university education compared to male students in BSMST Programme students. The model was only suitable in make a short period projections.
Category: Statistics
[1] viXra:2008.0065 [pdf] submitted on 2020-08-10 16:54:00
Authors: Philippe Hottier, Abdelmajid Ben Hadj Salem
Comments: 137 Pages. In French. Comments welcome.
It is a digital version of a manuscript of a course about the theory of errors given by the Engineer-in-Chief Philippe Hottier at the '80s, at the French National School of Geographic Sciences. The course gives the foundation of the method of the least squares for the case of linear models.
Category: Statistics