Dispersive ordering and monotone failure rate distributions

J. Bartoszewicz

doi:10.2307/1427155

Dispersive ordering and monotone failure rate distributions

Advances in Applied Probability ◽

10.1017/s0001867800015111 ◽

1985 ◽

Vol 17 (02) ◽

pp. 472-474 ◽

Cited By ~ 2

Author(s):

J. Bartoszewicz

Keyword(s):

Failure Rate ◽

Dispersive Ordering ◽

Partial Orderings

Recently many authors (e.g. Shaked (1982), Deshpande and Kochar (1983), Sathe (1984)) have established relations between the dispersive ordering and some other partial orderings of distributions. This note presents connections which the dispersive ordering has with monotone failure rate distributions.

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CLASSIFICATION OF MULTIVARIATE LIFE DISTRIBUTIONS BASED ON PARTIAL ORDERING

Probability in the Engineering and Informational Sciences ◽

10.1017/s0269964802161092 ◽

2002 ◽

Vol 16 (1) ◽

pp. 129-137 ◽

Cited By ~ 5

Author(s):

Dilip Roy

Keyword(s):

Present Article ◽

Failure Rate ◽

Partial Ordering ◽

Increasing Failure Rate ◽

Multivariate Generalization ◽

Partial Orderings ◽

Life Distributions ◽

New Better Than Used ◽

Better Than

Barlow and Proschan presented some interesting connections between univariate classifications of life distributions and partial orderings where equivalent definitions for increasing failure rate (IFR), increasing failure rate average (IFRA), and new better than used (NBU) classes were given in terms of convex, star-shaped, and superadditive orderings. Some related results are given by Ross and Shaked and Shanthikumar. The introduction of a multivariate generalization of partial orderings is the object of the present article. Based on that concept of multivariate partial orderings, we also propose multivariate classifications of life distributions and present a study on more IFR-ness.

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Partial Orderings of Distributions Based on Right-Spread Functions

Journal of Applied Probability ◽

10.1239/jap/1032192565 ◽

1998 ◽

Vol 35 (1) ◽

pp. 221-228 ◽

Cited By ~ 72

Author(s):

J. M. Fernandez-Ponce ◽

S. C. Kochar ◽

J. Muñoz-Perez

Keyword(s):

Probability Distributions ◽

Partial Ordering ◽

Dispersion Measure ◽

Dispersive Ordering ◽

Partial Orderings

In this paper we introduce a quantile dispersion measure. We use it to characterize different classes of ageing distributions. Based on the quantile dispersion measure, we propose a new partial ordering for comparing the spread or dispersion in two probability distributions. This new partial ordering is weaker than the well known dispersive ordering and it retains most of its interesting properties.

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Dispersive and superadditive ordering

Advances in Applied Probability ◽

10.2307/1427262 ◽

1986 ◽

Vol 18 (4) ◽

pp. 1019-1022 ◽

Cited By ~ 39

Author(s):

A. N. Ahmed ◽

A. Alzaid ◽

J. Bartoszewicz ◽

S. C. Kochar

Keyword(s):

Dispersive Ordering ◽

Partial Orderings

Recently many authors have established connections between dispersive ordering and some other partial orderings of distributions. This paper presents the connection which superadditive ordering has with dispersive ordering.

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Dispersive and superadditive ordering

Advances in Applied Probability ◽

10.1017/s000186780001627x ◽

1986 ◽

Vol 18 (04) ◽

pp. 1019-1022 ◽

Cited By ~ 6

Author(s):

A. N. Ahmed ◽

A. Alzaid ◽

J. Bartoszewicz ◽

S. C. Kochar

Keyword(s):

Dispersive Ordering ◽

Partial Orderings

Recently many authors have established connections between dispersive ordering and some other partial orderings of distributions. This paper presents the connection which superadditive ordering has with dispersive ordering.

Download Full-text

Partial Orderings of Distributions Based on Right-Spread Functions

Journal of Applied Probability ◽

10.1017/s0021900200014819 ◽

1998 ◽

Vol 35 (01) ◽

pp. 221-228 ◽

Cited By ~ 9

Author(s):

J. M. Fernandez-Ponce ◽

S. C. Kochar ◽

J. Muñoz-Perez

Keyword(s):

Probability Distributions ◽

Partial Ordering ◽

Dispersion Measure ◽

Dispersive Ordering ◽

Partial Orderings

In this paper we introduce a quantile dispersion measure. We use it to characterize different classes of ageing distributions. Based on the quantile dispersion measure, we propose a new partial ordering for comparing the spread or dispersion in two probability distributions. This new partial ordering is weaker than the well known dispersive ordering and it retains most of its interesting properties.

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إيجاد أفضل مقدر لمعلمات التوزيع الخطي العام لمعدلات الفشل باستخدام المحاكاة

Journal of Economics and Administrative Sciences ◽

10.33095/jeas.v18i69.929 ◽

2012 ◽

Vol 18 (69) ◽

pp. 237

Author(s):

فاتن فاروق البدري ◽

علا علي فرج

Keyword(s):

Failure Rate ◽

Rate Distribution

تهدف دراسة التوزيعات الإحصائية إلى الحصول على التوصيفات الأفضل لمجموعة المتغيرات والظواهر والتي كل منها يمكن أن يسلك سلوك واحد من هذه التوزيعات. وتعد دراسة عمليات التقدير لمعلمات هذه التوزيعات من الأمور المهمة والتي لا غنى عنها في دراسة سلوك هذه المتغيرات ونتيجة لذلك جاء هذا البحث محاولة للوصول إلى أفضل طريقة تقدير معلمات توزيع هو واحد من أهم التوزيعات الإحصائية وهو التوزيع الخطي العام لمعدلات الفشل، (Generalized Linear Failure Rate Distribution) وذلك من خلال دراسة الجوانب النظرية بالاعتماد على طرق الاستدلال الإحصائي مثل طريقة الإمكان الأعظم وطريقة المربعات الصغرى وبالإضافة إلى الطريقة المختلطة(طريقة مقترحة) . وتضمن البحث إجراء المقارنات بين طرائق التقدير الثلاثة لمعلمات التوزيع الخطي العام لمعدلات الفشل (GLFRD)، بالاعتماد على مقياسين إحصائيين مهمين هما متوسط مربعات الخطأ (MSE)، ومتوسط الخطأ النسبي المطلق (MAPE)، للحصول على طريقة التقدير الأفضل.

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