Descent pada kasus dua individu bersaudara kandung (Full Sibs) dan dua individuDistribusi pewarisan Genom yang Identical by bersaudara tiri (Half Sibs).

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ABSTRAK

DISTRIBUSI PEWARISAN GENOM

YANG IDENTICAL BY DESCENT

PADA KI.SUS DUA INDIVIDU BERSAUDARA KANDUNG (FULL

SIBS)

.

11AN DUA INDIVIDU BERSAUDARA TIRI (HALF SIBS)

Oleh

Hongki Julie

NIM: 20103012

Di sini Rantai Markov dengan parameter kontinu diaplikasikan pada pewarisan genom untuk kasus dua individu yang bersaudara kandung (Full Sibs) dan bersaudara tiri (Half Sibs). Banyak keadaan untuk Full Sibs dan Half Sibs masing-masing adalab tiga dan dua.

Pada kedua kasus dipelajari periode dari setiap keadaan, Lestasioneran, dan ditentukan fungsi kumulatif dari banyak subsegmen dari suatu segmen kromosom dengan panjang t (Morgan) yang masing-masing mempunyai dua atau paling sedikit satu atau satu haplotype yang diwariskan 1BD oleh ayah dan atau ibunya. Fungsi distribusi tersebut dipellajari melalui fungsi pembangkit momen.

Katti knack Full Sibs, Half Sibs, Rantai Markov dengan parameter kontinu, fungsi pembangkit momen, fungsi distribusi kumulatif.

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ABSTRACT

DISTRIBUTION OF GENOME SHARED IDENTICAL BY

DESCENT FOR A PAIR OF FULL SIBS AND A PAIR OF HALF

SIBS

Oleh Hongki Julie NIM: 20103012

This thesis yvill allow Markov Chain's application in genome shared identical by descent by twO individual at full sibs model and half sibs model. Full sibs model was a continuous time Markov Chain with three state. Half sibs model was a continuous time Markov Chain with two state.

In full sibs model, we analised periode for every state, stasionery, and the number of distinct pieces of a chromosomal segment of length t (Morgan), on each of which 2 or at least I haplotypes are shared identical by descent cumulative distribution function. In half sibs _model, we analised periode for every state, stasionery, and the number of distinct pieces of a chromosomal segment of length t (Morgan), on each of which 1 haplotypes are shared identical by descent cumulative distribution ftmction. This cumulative 4istribution function analised by moment generating function.

Keywords:

Hull Sibs, Half Sibs, a continuous time Markov Chain, moment generating

function, annul ati ve distribution function.

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