## A statistical analysis of base-flow flood discharge data |

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algebraic simplification asymptotic average number base flow data Base Flow Record base flow series computed confidence interval confidence limits confidence region cumulative distribution function density function design equations design flow necessary discharge values distribution function encounter probability equalled or exceeded estimated exceedance events exceeds expected recurrence interval expected value exponential distribution Figure find a t flood discharge flood magnitude flood peaks floods equalling fy(y gamma distribution gM(m gN(n hazard events Horton Joint characteristic function Joint distribution likelihood function measure of risk NQ and ZQ number of flood number of hazard number of observations number of occurrences number of recorded obtained period of record plotted Plow Record Number Poisson distribution Poisson Process possible to find probability density function probability distribution probability mass function rank number Recurrence Interval Relationships Relationships for Synthetic South Chickamauga Creek standardized random variable substitution for algebraic Synthetic Base Plow technique