p

௚

f insertion sites in the gene g,

ܵ௚^ாൌ෍ݖ௚,௜

௡೒

௜ୀଵ

(2.30)

raDIS statistic is ܵ௚^்ൌ݊௚. The MF statistic is defined as below,

൏ݓ௜൏1 (∑

ݓ௜ൌ1

௡೒

௜ୀଵ

) is a weight for the i^th insertion site,

ܵ௚^ெൌ෍ݓ௜ݖ௚,௜

௡೒

௜ୀଵ

(2.31)

it is obvious that ܵ௚^ெ൏ܵ௚^ா if insertions are equally distributed

gene. If all insertions are distributed in the distal regions of a gene,

. If all insertions are distributed in the centre of a gene, ܵ௚^ெൎܵ௚^ா.

cases, ܵ௚^ெ൐ܵ௚^். However, if all insertions are distributed in the

ions of a gene, ܵ௚^ெ≪ܵ௚^். It can be seen that the introduction of

tion feature statistic has pressed down the transposon statistic

f the essential genes. This therefore increases the bimodality of

ty of the transposon statistic such as the mutation feature statistic.

e 2.44 shows the density estimated based on MF for the first

of the Francisella Tularensis species. This density shows a better

ty, which may make essential gene identification easier and more

The density estimated based on the MF statistic for the first replicate of

Tularensis.