Tables of Bounds for Distributions with Monotone Log-Odds Rate

This article presents applicable bounds for distributions with monotone log-odds rate. The bounds are based on results obtained by Wang et al. (2003) and Zimmer et al. (1998). Due to the complexity of some of the equations, numerical analysis and computer algorithms were necessary to calculate some of the results of these bounds. Five different types of bounds are tabled in this research. Numerical examples of their application and comparisons to the results obtained by Barlow and Marshall (1965) of bounds on distributions with monotone hazard rate are also provided. The first type of tables is for lower bounds of increasing log-odds rate distributions with knowledge of two values of the reliability of the distribution. The second and third types of tables are for upper bounds under the same conditions. The fourth type of tables is for lower bounds of increasing log-odds rate distributions with knowledge of the mean and the median of the distribution. Finally, the fifth type of tables is for lowe...