Mathematical analysis study for radar data processing and enchancement. Part 2: Modeling of propagation path errors

A study is performed under NASA contract to evaluate data from an AN/FPS-16 radar installed for support of flight programs at Dryden Flight Research Facility of NASA Ames Research Center. The purpose of this study is to provide information necessary for improving post-flight data reduction and knowledge of accuracy of derived radar quantities. Tracking data from six flights are analyzed. Noise and bias errors in raw tracking data are determined for each of the flights. A discussion of an altitude bias error during all of the tracking missions is included. This bias error is defined by utilizing pressure altitude measurements made during survey flights. Four separate filtering methods, representative of the most widely used optimal estimation techniques for enhancement of radar tracking data, are analyzed for suitability in processing both real-time and post-mission data. Additional information regarding the radar and its measurements, including typical noise and bias errors in the range and angle measurements, is also presented. This report is in two parts. This is part 2, a discussion of the modeling of propagation path errors

Beta distributions: A computer program for probabilities and fractile points

A beta distribution is specified by range parameters a b, and two shape parameters alpha and beta 0. The computer program presented calculates any desired probability and/or fractile point for specified values of a, b, alpha, and beta. This program additionally computes gamma function values for integer and noninteger arguments

Extreme Mean and Its Applications

Extreme value statistics obtained from normally distributed data are considered. An extreme mean is defined as the mean of p-th probability truncated normal distribution. An unbiased estimate of this extreme mean and its large sample distribution are derived. The distribution of this estimate even for very large samples is found to be nonnormal. Further, as the sample size increases, the variance of the unbiased estimate converges to the Cramer-Rao lower bound. The computer program used to obtain the density and distribution functions of the standardized unbiased estimate, and the confidence intervals of the extreme mean for any data are included for ready application. An example is included to demonstrate the usefulness of extreme mean application

A statistical package for computing time and frequency domain analysis

The spectrum analysis (SPA) program is a general purpose digital computer program designed to aid in data analysis. The program does time and frequency domain statistical analyses as well as some preanalysis data preparation. The capabilities of the SPA program include linear trend removal and/or digital filtering of data, plotting and/or listing of both filtered and unfiltered data, time domain statistical characterization of data, and frequency domain statistical characterization of data

Bivariate normal, conditional and rectangular probabilities: A computer program with applications

Some results for the bivariate normal distribution analysis are presented. Computer programs for conditional normal probabilities, marginal probabilities, as well as joint probabilities for rectangular regions are given: routines for computing fractile points and distribution functions are also presented. Some examples from a closed circuit television experiment are included

Variation In Gold Content Of Minerals Of The Marysville Quartz Diorite Stock, Montana

Neutron activation analysis for gold has been carried out on 135 mineral samples from throughout the Marysville stock with the following results: (1) the gold content of 44 biotite ranges from 0·002 to 0·924 ppm with an average of 0·076 ppm; (2) 37 hornblende samples gave a range of 0·003-0·823 ppm and an average of 0·100 ppm; (3) for 44 magnetite samples the range was 0·003-0·329 ppm and the average 0·037 ppm; (4) 10 quartz-feldspar samples varied from 0·006 to 0·176 ppm with an average of 0·065 ppm. High gold values mainly occur near the edge of the stock and the lowest values in the center of the stock. The highest values are found near the old gold mines located along the periphery of the stock. Because it could not form bonds in crystallizing minerals, the gold was concentrated in the residual fluids of the Marysville magma and was finally deposited in quartz veins at the edge of the stock. The gold in the minerals is probably entrapped as uncharged gold atoms. The amount of gold in a given mineral was determined by the structure of the mineral and the concentration of gold in the magma at the time of crystallization of that mineral. © 1967

Wills, Trusts, and Estates

The 2021 Virginia General Assembly did not pass any major laws governing estates or trusts this year. However, it did pass several legislative efforts related to the field and of which practitioners should be aware. Perhaps the most relevant update given the COVID-19 pandemic was the Legislature’s effort to modernize procedures for electronic notarizations and electronic recording of documents. Another new law was designed to improve retirement savings participation rates in the Commonwealth by requiring certain employers to enroll their employees by default in a new, state-facilitated individual retirement account program. The Legislature also passed several bills designed to make it easier for disabled individuals to receive third-party support when making their own healthcare, financial, and personal decisions. New laws also expanded the class of parents and custodians who can designate a standby legal guardian for a minor and slightly modified the order of priority for beneficiaries in a wrongful death suit. Finally, the Legislature updated the Virginia Stock Corporation Act as it pertains to filing procedures and requirements, shareholder notice requirements, and the ability of directors to take emergency action. Although these changes were not technically substantive developments in the area of wills, trusts, and estates, attorneys should be mindful of them when advising their clients in ancillary corporate matters

Mathematical analysis study for radar data processing and enhancement. Part 1: Radar data analysis

A study is performed under NASA contract to evaluate data from an AN/FPS-16 radar installed for support of flight programs at Dryden Flight Research Facility of NASA Ames Research Center. The purpose of this study is to provide information necessary for improving post-flight data reduction and knowledge of accuracy of derived radar quantities. Tracking data from six flights are analyzed. Noise and bias errors in raw tracking data are determined for each of the flights. A discussion of an altiude bias error during all of the tracking missions is included. This bias error is defined by utilizing pressure altitude measurements made during survey flights. Four separate filtering methods, representative of the most widely used optimal estimation techniques for enhancement of radar tracking data, are analyzed for suitability in processing both real-time and post-mission data. Additional information regarding the radar and its measurements, including typical noise and bias errors in the range and angle measurements, is also presented. This is in two parts. This is part 1, an analysis of radar data

Deployment of churn prediction model in financial services industry

© 2016 IEEE. Nowadays, data analytics techniques are playing an increasingly crucial role in financial services due to the huge benefits they bring. To ensure a successful implementation of an analytics project, various factors and procedures need to be considered besides technical issues. This paper introduces some practical lessons from our deployment of a data analytics project in a leading wealth management company in Australia. Specifically, the process of building a customer churn prediction model is described. Besides common steps of data analysis, how to deal with other practical issues like data privacy and change management that are encountered by many financial companies are also introduced

Ultrasensitive Analysis of Binding Affinity of HIV Receptor and Neutralizing Antibodies Using Solution-Phase Electrochemiluminescence Assay

Binding of a few ligand molecules with its receptors on cell surface can initiate cellular signaling transduction pathways, and trigger viral infection of host cells. HIV-1 infects host T-cells by binding its viral envelope protein (gp120) with its receptor (a glycoprotein, CD4) on T cells. Primary strategies to prevent and treat HIV infection is to develop therapies (e.g., neutralizing antibodies) that can block specific binding of CD4 with gp120. The infection often leads to the lower counts of CD4 cells, which makes it an effective biomarker to monitor the AIDS progression and treatment. Despite research over decades, quantitative assays for effective measurements of binding affinities of protein-protein (ligand-receptor, antigen-antibody) interactions remains highly sought. Solid-phase electrochemiluminescence (ECL) immunoassay has been commonly used to capture analytes from the solution for analysis, which involves immobilization of antibody on solid surfaces (micron-sized beads), but it cannot quantitatively measure binding affinities of molecular interactions. In this study, we have developed solution phase ECL assay with a wide dynamic range (0–2 nM) and high sensitivity and specificity for quantitative analysis of CD4 at femtomolar level and their binding affinity with gp120 and monoclonal antibodies (MABs). We found that binding affinities of CD4 with gp120 and MAB (Q4120) are 9.5×108 and 1.2×109 M−1, respectively. The results also show that MAB (Q4120) of CD4 can completely block the binding of gp120 with CD4, while MAB (17b) of gp120 can only partially block their interaction. This study demonstrates that the solution-phase ECL assay can be used for ultrasensitive and quantitative analysis of binding affinities of protein-protein interactions in solution for better understating of protein functions and identification of effective therapies to block their interactions