Show how the Normal bin width rule can be modied if f is skewed or kurtotic. Examine the effect of bimodality. Compare your rules to Doane's (1976) extensions of Sturges' rule.
Perform a dimensional analysis for the quantities f, f' , f'', R(f), R(f') and R(f''). Check your results by computing these quantities for the case f = N(μ; σ^{2}) by tracking the factor σ.