Asymptotic expansions for infinite weighted convolutions of heavy tail distributions and application / / Ph. Barbe, W.P. McCormick

• Record Nr.: UNINA9910480112803321
• Autore: Barbe Philippe
• Pubbl/distr/stampa: Providence, Rhode Island : , : American Mathematical Society, , 2009; ©2009
• ISBN: 1-4704-0528-8
• Descrizione fisica: 1 online resource (133 p.)
• Collana: Memoirs of the American Mathematical Society, , 0065-9266 ; ; Number 922
• Disciplina: 519.2/4
• Soggetti: Distribution (Probability theory) - Mathematical models; Asymptotic expansions; Stochastic processes; Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: ""Contents""; ""1. Introduction""; ""1.1. Prolegomenom""; ""1.2. Mathematical overview and heuristics""; ""2. Main result""; ""2.1. Some notation""; ""2.2. Asymptotic scales""; ""2.3. The Laplace characters""; ""2.4. Smoothly varying functions of finite order""; ""2.5. Asymptotic expansion for in finite weighted convolution""; ""3. Implementing the expansion""; ""3.1. How many terms are in the expansion?""; ""3.2. [sub(*)]-Asymptotic scales and functions of class m""; ""3.3. Tail calculus: From Laplace characters to linear algebra""; ""3.4. Some examples""; ""3.5. Two terms expansion and second order regular variation""""3.6. Some open questions""; ""4. Applications""; ""4.1. ARMA models""; ""4.2. Tail index estimation""; ""4.3. Randomly weighted sums""; ""4.4. Compound sums""; ""4.5. Queueing theory""; ""4.6. Branching processes""; ""4.7. Infinitely divisible distributions""; ""4.8. Implicit transient renewal equation and iterative systems""; ""5. Preparing the proof""; ""5.1. Properties of Laplace characters""; ""5.2. Properties of smoothly varying functions of finite order""; ""6. Proof in the positive case""; ""6.1. Decomposition of the convolution into integral and multiplication operators""""6.2. Organizing the proof""; ""6.3. Regular variation and ; basic tail estimates""; ""6.4. The fundamental estimate""; ""6.5. Basic lemmas""; ""6.6. Inductions""; ""6.7. Conclusion""; ""7. Removing the sign restriction on the random variables""; ""7.1. Elementary properties of U[sub(H)]""; ""7.2. Basic expansion of U[sub(H)]""; ""7.3. A technical lemma""; ""7.4. Conditional expansion and removing conditioning""; ""8. Removing the sign restriction on the constants""; ""8.1. Neglecting terms involving the multiplication operators""""8.2. Substituting H[sup((k))] and G[sup((k))] by their expansions""; ""9. Removing the smoothness restriction""; ""Appendix. Maple code""; ""Bibliography""

First steps in clinical supervision [[electronic resource] ] : a guide for healthcare professionals / / Paul Cassedy

• Record Nr.: UNINA9910460112803321
• Autore: Cassedy Paul
• Pubbl/distr/stampa: Berkshire, England, : Open University Press, 2010
• ISBN: 1-283-33958-7; 9786613339584; 0-335-23929-3
• Descrizione fisica: 1 online resource (216 p.)
• Disciplina: 362.173068; 610/.76
• Soggetti: Nurses; Medical care - Great Britain; Electronic books.
• Lingua di pubblicazione: Inglese
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: Front cover; Half Title page; Title Page; Copyright page; Dedication; Contents; Acknowledgements; List of figures; 1 Introducing Clinical Supervision; Introduction; Are similar roles already in place?; Reaching a definition; Some background information; This supervisor's background; The name of clinical supervision; Supervision as a journey; Is supervision therapy?; Categorizing clinical supervision into functions; Benefits of clinical supervision; What are the reasons for becoming a ; supervisor?; Relevant collaboration with others; Training for clinical supervision; Conclusion; 2 What to Cover at a First MeetingIntroduction; The purpose of a supervision contract; Negotiation of rights and responsibilities; Making contributions to the supervision relationship; Putting in a little extra; Getting started with the first meeting; What has brought us here? Expectations for supervision; Contracting for supervision: agreeing the practicalities; Note taking and record keeping; Introducing and making a contract; Conclusion; 3 Qualities for a Healthy Supervision Relationship; Introduction; The essence of a supervision relationship; Characteristics of a supervision relationship; Person-centred theoryThe core conditions of helping and the supervision relationship; Self-awareness and the clinical supervisor; A self-awareness framework; Giving constructive feedback; Conclusion; 4 Three Functions of Clinical Supervision; Introduction; The normative function; The formative function; The restorative function; A balance of support and challenge; Changing supervisors; The three functions and research; Conclusion; 5 Active Listening and Responding Skills; Introduction; Listening as a supervisor; Core principles for effective listening in supervision; Non-verbal communication and listeningCombining non-verbal cues with the spoken word; Perceiving non-verbal communication; Getting ready to listen; The supervisor's toolbox of active listening skills; Conclusion; 6 Six-category Intervention Analysis; Introduction; The value of six-category intervention analysis to the clinical supervisor; The prescriptive category; The informative category; The confronting category; The cathartic category; The catalytic category; The supportive category; Six-category intervention analysis for clinical supervision; The need to be aware of degenerative interventionsConclusion; 7 A Problem-solving Framework; Introduction; Reasons for a problem-solving model; Stage 1. The current scenario or problem situation; Stage 2. The preferred scenario; Stage 3. Action strategies; Some final thoughts; Conclusion; 8 Reflective Practice and the Supervisor; Introduction; Defining reflective practice; Reflective practice in clinical supervision; Reasons for a reflective framework; A model of reflection; Using reflective cycles and models together; Conclusion; Suggested further reading; 9 Structuring and Evaluating Clinical Supervision Sessions
• Sommario/riassunto: This book is designed as a practical toolkit to aid those training to do clinical supervision or starting out as clinical supervisors.