Physical Sciences and Mathematics Commons^™

Statistical Analysis Of Survival Data, Rexanne Marie Bruno

UNF Graduate Theses and Dissertations

The terminology and ideas involved in the statistical analysis of survival data are explained including the survival function, the probability density function, the hazard function, censored observations, parametric and nonparametric estimations of these functions, the product limit estimation of the survival function, and the proportional hazards estimation of the hazard function with explanatory variables.

In Appendix A these ideas are applied to the actual analysis of the survival data for 54 cervical cancer patients.

A Study Of The Two Major Causes Of Neonatal Deaths: Perinatal Conditions And Congenital Anomalies, Felipe Lorenzo-Luaces

UNF Graduate Theses and Dissertations

Infant mortality is a public health concern in the United states. We concentrate on neonatal mortality for its high accountability of infant mortality. In this paper we study the neonatal mortality of Florida's 1989 live birth cohort.

The data has been analyzed for two major causes of deaths: perinatal conditions and congenital anomalies. We use the KAPLAN-MEIER method to estimate the survival probabilities. For each cause, data were fit to the Weibull models and Extreme Value models to estimate the parameters of the survival curves. The results indicate that primary factors for each cause of neonatal deaths are very low …

A Relationship Between The Fibonacci Sequence And Cantor's Ternary Set, John David Samons

UNF Graduate Theses and Dissertations

The Fibonacci sequence and Cantor's ternary set are two objects of study in mathematics. There is much theory published about these two objects, individually. This paper provides a fascinating relationship between the Fibonacci sequence and Cantor's ternary set. It is a fact that every natural number can be expressed as the sum of distinct Fibonacci numbers. This expression is unique if and only if no two consecutive Fibonacci numbers are used in the expression--this is known as Zekendorf's representation of natural numbers. By Zekendorf's representation, a function F from the natural numbers into [0,0.603] will be defined which has the …

Density Of The Numerators Or Denominators Of A Continued Fraction, Seyed J. Vafabakhsh

UNF Graduate Theses and Dissertations

Let A = {a_n}^∞_{n = 1} be a sequence of positive integers. There are two related sequences P_n and Q_n obtained from A by taking partial convergents out of the number [0; a₁, a₂, ..., a_n, ...], where P_n and Q_n are the numerators and denominators of the finite continued fraction [0; a₁, a₂, ...,a_n].

Let P(n) be the largest positive integer k , such that P_k ≤ n. The sequence Q(n …