Excel sheet ideas: DTMC: vector*pmat; Error: transpose pmat powers; Error: too small pmat squared; Error: actually powers steady-state; Error: transpose? simulate; Error: rand->column mapping collect-stats; Error: reverse jumps Poisson Proc: Binomial Process; Error: Arrival times of PP are Unif. order stats; Error: Non-Homogeneous Poisson arrivals * wrong approach: inter-arrivals Exp(lambda(t)) * right approach, small mistage CTMC: convert SMP to rates convert rates to SMP simulate, as SMP; Error: times rate instead of mean simulate, as rates; Error: steady-state, as SMP; Error: forget to normalize steady-state, as rates; Error: transient, (I+R/n)^n; Error: ((I+R)/n)^n transient, Euler; Error: times h vs. divided by h transient, RK; Error: apply 1/6 to only the first term, not sum transient, RK; Error: \vec{k}_{2} or _{3} based on wrong time or space point. collect-stats; Error: rates vs. means Renewal Theory: Superposition of Renewal Proc; Error: Insurance Ruin; Error: Inspection Paradox; Error: Correlation of Age, Excess; Error: Brownian Motion: as Scaled Random Walk; Error: sqrt on time vs. space term as Normal; Error: Variance vs. Standard Deviation MVN/Cholesky; Error: G*z vs z*G