Fitting phase type distribution to service process with sequential phases

The work of this thesis is concerned with fitting Hypo-exponential and Erlang phase type distributions for modeling real life processes with non-exponential service time. There exist situations where exponential distributions cannot explain the distribution of service time properly. This thesis presents the application of two traditional statistical estimation techniques to approximate the service distributions of processes with coefficient of variation less than one. It also presents an algorithm to fit Hypo-exponential distribution for complex situations which can’t be handled properly with traditional estimation techniques. The result shows the effect of variation of sample size and other parameters on the efficiency of the estimation techniques by comparing their respective outputs. Furthermore it checks how accurately the proposed algorithm approximates a given distribution.

Sensitization to indoor aeroallergens in children who attended the Allergy Service of the “Dr. José Eleuterio González” University Hospital of Monterrey, Mexico

Background: Indoor aeroallergens are the main cause of sensitization in children and represent a risk factor for the development of allergic diseases. Objective: Identify the major indoor aeroallergens most often sensitized to pediatric patients treated at the Allergy Service at the “Dr. José Eleuterio González” University Hospital of Monterrey Methods: We performed an observational and descriptive study where we reviewed reports of positive skin tests to the following common indoor aeroallergens: Dermatophagoides farinae (D. farinae), Dermatophagoides pteronyssinus (D. pteronyssinus), Canis familiaris (C. familiaris), Felis domesticus (F. domesticus), Blattella germanica (B. germanica) and Periplaneta americana (P. americana), found in patients under 16 years with symptoms of allergy, during the period of 2011-2012. Results: We performed 439 skin tests to aeroallergens in pediatric patients. Of these, 57.6% were male and 42.4% were female. Mean age was 6.3 years. The age groups were under 3 years: 17.8%, 3-5 years: 35%, 6-12 years: 36%, and 13-16 years: 11.2%. The main diagnoses were: allergic rhinitis (71.8%), asthma (16.6%), and atopic dermatitis (4.3%). In 57.9% of the cases, they had at least one positive skin test to any aeroallergen. The rate of sensitization to speciic aeroallergens was: D. Pteronyssinus 49.0%, D. farinae 44.6%, B. germanica 13.9%, P. Americana 10.9%, F. domesticus 10.7%, and C. familiaris 5.9%. Conclusion: Indoor aeroallergen sensitization can occur early in life, although it was more frequent in the preschooler and elementary school group. Dust house mites were the most commom cause of allergic sensitization.