출생 사멸 과정의 유형별 극한 상태 = Typical limiting forms of the Birth and Death process

다국어 초록 (Multilingual Abstract)

I made research for the limiting state of the birth and death process among Markov prob�ability processes which are depending on the state of a transitional priority. The birth and
.death process has included the birth process and the death process at the same time, but there
has been in case of oneside, while there have been inclusions of both sides in much case.
In this process, according to how to situate the birth percentage and the death percentage, a
transition probability has set and the limiting state of process has got different.
The purpose of the main subject means that in case of random variable Xt has only a disc�rete variable 0, 1, 2, 3, •••••• in case of time-homogeneousness, the situating method by the
birth percentage and the death percentage has divided into some forms; and then the limiting
state has become clear under every form, and this result has been evident.

목차 (Table of Contents)

• 緖言 1
• (1) 出生率과 死滅率이 各各 一定値일 때 2
• (2) 出生率과 死滅率이 推移直前의 個体數에 比例할 때 4
• (3) 出生率이 一定値，死減率은 推移 直前의 個体數에 比例할 때 5
• (4) 出生率이 一定値，死減率은 任意의 値에 比例할 때 6
• (5) m이 固定値일 때 出生率이 m-n에 比例하고 死減率은 一定値일 경우 8
• (6) m이 固定値，r0
• 任意의 値일 때，出生率은 m-n에 比例하고 死減率은 r 에 比例하거나(n>r때), n에 比例할(n<때) 때 10
• 結語 12