TABLE 1

Bounds on homozygosity and the frequency of the most frequent allele

QuantityLower bound in terms of other quantityUpper bound in terms of other quantityAverage difference between upper and lower boundsMaximal difference between upper and lower bounds
MEmbedded ImageEmbedded ImageEmbedded ImageEmbedded Image at Embedded Image
HM21 − M(⌈M−1⌉ − 1)(2 − ⌈M−1M)Embedded ImageEmbedded Image at Embedded Image