birth-and-death processes 中文意思是什麼

birth-and-death processes 解釋
生死過程
  • birth : n. 1. 出生，誕生；生產，分娩。2. 出身，家系；血統；門第，家世。3. 起源，開始。4. 〈古語〉產物，產兒。
  • and : n. 1. 附加條件。2. 〈常 pl. 〉附加細節。
  • death : n 1 死，死亡。2 死狀，死法；慘死；死因。3 褫奪公權。4 死刑。5 絕滅，消滅。6 謀殺；慘案。7 〈古語...
  1. Class of similar birth and death processes in random environment

    隨機環境中的相似生滅過程族
  2. The necessary and sufficient conditions of uniqueness, recurrent, ergodicity, exponential ergodicity, strong ergodicity, stochastically monotone, feller and symmetric properties - in - for the processes are presented. chapter 3 is devoted to studying an extended birth - death q - matrix with catastrophes and instantaneous state. we are able to give easy - checking existence criteria for such processes

    第二章討論具有突變率的廣義生滅全穩定q -矩陣，圓滿地獲得了q -矩陣零流出、零流入以及q過程的唯一性、常返性、遍歷性、指數遍歷性、強遍歷性、隨機單調性、 feller性、配稱性等充分必要條件。
  3. Chapter 6 is devoted to studying convergence rate of the birth and death processes. for a conservative birth and death q - matrix, we prove that the minimal q - function is strongly ergodic if and only if r - and s <. suppose a birth and death q - matrix satisfies r < and s

    第六章對生滅過程中的收斂速度進行了研究，得到了對保守生滅q -矩陣，最小q -函數是強遍歷的充要條件是r =和s ；且當r和s時，存在唯一可配稱誠實q -函數是強遍歷的。
  4. The rest of the paper is divided two parts : the first part, which is composed of chapter 2, chapter 3 and chapter 4, is devoted to studying problems on the extended birth - death processes and / ^ - invariant distribution. the second part is contributed to studying problems on convergence properties, which is composed of chapter 5, chapter 6 and chapter 7. chapter 2 is devoted to studying an extended birth - death stable q - matrix with catastrophes

    剩下的內容是本人在讀博期間研究取得的主要結果，它們分為兩部分：第一部分是廣義生滅（擬） q -矩陣和馬爾可夫q過程的不變測度，包括第二章、第三章和第四章；第二部分是序列的各種收斂性質，包括第五章、第六章和第七章。
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