Topic: Stochastic Orders and Comparisons

Worked Tail Comparisons for Discrete and Continuous Laws

Why Convex and Stochastic Orders Are Incomparable

Why Hazard-Rate Order Implies Stochastic Order

Why Likelihood-Ratio Order Implies Hazard-Rate Order

Worked Likelihood-Ratio Comparisons Across Distribution Families

Usual Stochastic Order from CDF and Survival Functions

Support Conditions and Pitfalls in Likelihood-Ratio Comparisons

Stop-Loss Characterization of Convex Order

Quantile Couplings for Stochastic Order

Preserving Stochastic Order Under Maps and Addition