[Verse 1] When normal curves just won't suffice And skewness enters the device Lognormal blooms where exponentials grow Stock prices dancing, never going below zero Take the log and watch it bend Into bell curves that transcend Financial modeling needs this twist Asymmetric, can't be missed [Chorus] Log-T-Chi-F, distributions we need Each one serves a different deed Student's t when samples shrink Chi-square tests the missing link F-distribution compares the pairs These four tools answer financial prayers Log-T-Chi-F, remember the tree Modeling reality [Verse 2] Student's t steps up to bat When sample size is rather flat Heavier tails than normal's grace Confidence intervals find their place Degrees of freedom set the stage As sample size turns the page Portfolio returns uncertain T-distribution draws the curtain [Chorus] Log-T-Chi-F, distributions we need Each one serves a different deed Student's t when samples shrink Chi-square tests the missing link F-distribution compares the pairs These four tools answer financial prayers Log-T-Chi-F, remember the tree Modeling reality [Bridge] Chi-square measures goodness fit Variance testing, that's the gist Right-skewed always, never left Of negative values, it's bereft F-ratio whispers comparison tales Two variances on the scales ANOVA's guardian at the gate Statistical significance to calculate [Verse 3] Lognormal guards the positive realm Where asset prices overwhelm Geometric returns compound and climb Bell-shaped logs throughout all time These four siblings work in tandem Financial mysteries they abandon Each distribution owns its domain In the analyst's terrain [Outro] When normal fails, these four prevail Log-T-Chi-F will never fail Financial modeling's trusted crew Each distribution pulls you through
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