تعمیم جدیدی برای توزیع وایبل معکوس

نویسندگان
1 دانشگاه شهید چمران اهواز، گروه آمار
2 دانشگاه علامه طباطبایی، تهران
چکیده
میزان شکست از مفاهیم مهم در نظریه قابلیت اعتماد است. در این مقاله به ارائۀ توزیعی جدید چهار پارامتری بر مبنای توزیع وایبل معکوس می‌پردازیم. توزیع جدید به‌ازای مقادیر مختلف پارامترها شامل پنج نرخ شکست نزولی، صعودی، وان شکل، تک نما و صعودی نزولی صعودی و هم‌چنین تابع چگالی توزیع جدید نیز دومدی است. در این مقاله گشتاور مرکزی، تابع چگالی آماره‌های ترتیبی، پارامتر قابلیت اعتماد، ماتریس اطلاع، مشاهده، محاسبه و از روش ماکزیمم درست‌نمایی برای برآورد پارامترها استفاده شده است. با استفاده از دو مثال کاربردی به برتری توزیع پیشنهادی در مقایسه با توزیع‌های دیگر می‌پردازیم.
کلیدواژه‌ها

عنوان مقاله English

The new generalized inverse Weibull distribution

نویسندگان English

A Dostmoradi 1
M Zadkarami 1
V Bahrami 2
چکیده English

Failure rate is one of the important concepts in reliability theory. In this paper, we introduce a new distribution function containing four parameters based on inverse Weibull distribution. This new distribution has a more general form of failure rate function. It is able to model five ageing classes of life distributions with appropriate choice of parameter values so that it is displayed decreasing, increasing, bathtub shaped, unimodal and increasing-decreasing increasing failure rates and the new distribution has also a bimodal density function. The moments, the order statistics, reliability parameters are obtained. The method of maximum likelihood is used to estimate the model parameters. Also, the observed information matrix is obtained. Two applications are presented to illustrate the advantage of the proposed distribution.

کلیدواژه‌ها English

Inverse Weibull distribution
generalized modified Weibull distribution
failure rate
moments
Maximum likelihood estimates
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