Offspring Mean Estimators in Branching Processes with Immigration

2000 Mathematics Subject Classification: 60J80.

Functional Transfer Theorems for Maxima of Stationary Processes

2000 Mathematics Subject Classification: 60G70, 60F12, 60G10.

Estimators in Branching Processes with Immigration

2000 Mathematics Subject Classi cation: 60J80.

Probabilistic Models in Cryptography, Coding Theory and Tests for PRNG

2000 Mathematics Subject Classification: 94A29, 94B70

2005 Seat Belt Usage Survey, June 12, 2006

During the spring and summer of 2005, two surveys were taken of motor vehicle drivers’ and passengers’ seat belt usage. These surveys are before and after parts of the “Click it or Ticket” education and enforcement campaign. The whole project starts with a pre-campaign survey followed by the four-week public information, education and enforcement campaign. Finally, the postcampaign survey is taken to test the effectiveness of the education and enforcement campaign. In the pre-campaign survey of seat belt usage, the usage/non-usage of 15,444 front seat occupants of cars, vans, SUVs and pickups were observed at 100 locations. In the post-campaign survey of seat belt usage, 15,731 observations were made of front seat occupants of cars, vans, SUVs and pickups. The day of the week and time of day the observations took place were selected for each site using a random number generation computer program.

Orientational relaxation in a random dipolar lattice: Wave-number and frequency dependence

In order to understand the role of translational modes in the orientational relaxation in dense dipolar liquids, we have carried out a computer ''experiment'' where a random dipolar lattice was generated by quenching only the translational motion of the molecules of an equilibrated dipolar liquid. The lattice so generated was orientationally disordered and positionally random. The detailed study of orientational relaxation in this random dipolar lattice revealed interesting differences from those of the corresponding dipolar liquid. In particular, we found that the relaxation of the collective orientational correlation functions at the intermediate wave numbers was markedly slower at the long times for the random lattice than that of the liquid. This verified the important role of the translational modes in this regime, as predicted recently by the molecular theories. The single-particle orientational correlation functions of the random lattice also decayed significantly slowly at long times, compared to those of the dipolar liquid.

Mixed multiplicities and the minimal number of generator of modules

Let (R, m) be a d-dimensional Noetherian local ring. In this work we prove that the mixed Buchsbaum-Rim multiplicity for a finite family of R-submodules of R(p) of finite colength coincides with the Buchsbaum-Rim multiplicity of the module generated by a suitable superficial sequence, that is, we generalize for modules the well-known Risler-Teissier theorem. As a consequence, we give a new proof of a generalization for modules of the fundamental Rees` mixed Multiplicity theorem, which was first proved by Kirby and Rees in (1994, [8]). We use the above result to give an upper bound for the minimal number of generators of a finite colength R-submodule of R(p) in terms of mixed multiplicities for modules, which generalize a similar bound obtained by Cruz and Verma in (2000, [5]) for m-primary ideals. (C) 2009 Elsevier B.V. All rights reserved.

Estimating the number of motor units using random sums with independently thinned terms

The problem of estimating the numbers of motor units N in a muscle is embedded in a general stochastic model using the notion of thinning from point process theory. In the paper a new moment type estimator for the numbers of motor units in a muscle is denned, which is derived using random sums with independently thinned terms. Asymptotic normality of the estimator is shown and its practical value is demonstrated with bootstrap and approximative confidence intervals for a data set from a 31-year-old healthy right-handed, female volunteer. Moreover simulation results are presented and Monte-Carlo based quantiles, means, and variances are calculated for N in{300,600,1000}.

Estimating the Number of Essential Genes in a Genome by Random Transposon Mutagenesis

We describe a Bayesian method for estimating the number of essential genes in a genome, on the basis of data on viable mutants for which a single transposon was inserted after a random TA site in a genome,potentially disrupting a gene. The prior distribution for the number of essential genes was taken to be uniform. A Gibbs sampler was used to estimate the posterior distribution. The method is illustrated with simulated data. Further simulations were used to study the performance of the procedure.

Direct support, general support, and depot maintenance repair parts and special tools list : test stand, automotive generator, alternator, and starter (United Manufacturing Company model AGART type II, part number 7336 (4910-316-5252) and part numbers 7336-1, 7336-2, and 7336-3 (4910-767-0218)).

"December 1967."

Operator and organizational maintenance manual (including repair parts and special tool lists) : test stand, automotive generator, alternator, and starter, floor mounted, 10 to 50-V, 500-amp, DC, and 25 to 50-V, 100 to 400 amp, AC, testing ranges, w/800 to 11,000-RPM ... (United Manufacturing Company model AGARTS type II, part number 7336-1 ....

"November 1966."

Organizational, direct support, and general support maintenance repair parts and special tools list for test stand, automotive generator, alternator, starter, and associated equipment, model GASR-500 : part number 7458-2, 7458-4, NSN 4910-01-041-8161, 4910-00-767-0218.

"May 1987."

Direct support and general support maintenance manual : test stand, automotive generator, alternator, starter, and associated equipment, model GASR-500 : part number 7458-2 ....

"June 1981."