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Notes on Exponential Distribution

المتغير العشوائي X  له توزيع أسي اذا كان له دالة احتمالية الكثافة بالشكل:

عندما  ، هذه هي الحالة الخاصة لتوزيع كاما.

غالباً جداً ولسبب معقول تأخذ . الحالة الخاصة لـ (1) التي نحصل عليها تسمى بالتوزيع الاسي لمعلمة واحدة.

اذا كانت  ، ، التوزيع في هذه الحالة يسمى التوزيع الاسي القياسي

اما بالنسبة لعائلة التوزيع الاسي.

افرض ان                                             

هي دالة لمعلمة واحدة لعائلة دوال احتمالية الكثافة الاسية بالنسبة الى قياس Lebesgue على مجموعات Borel لـ HCR مع معلمة الفضاء  التي تكتب بالشكل:

 

افرض ان  وان b هي قابلة للاشتقاق

الحالة  مع  هي اعتيادياً تعود الى الشكل القياسي ولاجل دالة احتمالية قياس لتوزيع اسي لشكل قياس c (.) ، d(.) وحيدة وتؤدي الى تحويلات

 انياً لاجل  وهكذا فاننا نفرض ان c(o) = o بدون فقدان التعميم.

 

 

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Publication Date
Sun Apr 28 2019
Journal Name
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The impact of Iraq's accession to the Convention on Freedom of Association and Protection of the Right to Organize in the reform of the legislative regime of trade union freedoms

In this research, we discussed the following: (The impact of Iraq's accession to the Convention on Freedom of Association and Protection of the Right to Organize in the reform of the legislative regime of trade union freedoms). This agreement contains a number of basic principles and rights of freedoms and trade union rights: Workers and employers enjoy full freedom to form their unions to protect and promote their interests Without distinction or discrimination between workers. She pointed out that the main impact of Iraq's ratification of this agreement is to review and reform its labor legislation in accordance with the international standards contained in the Convention on Freedom of Association.

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Publication Date
Sun Oct 22 2023
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New Approach for an On-Line Turbidimetric Determination of Cadmium (II) in Different River Water Via the Use of A homemade Ayah 6SX1-T-2D Solar-Continuous Flow Injection Analyser

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Fri Oct 30 2020
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The effect of applying total quality management on the competitiveness from the point of view of the front-rows employees for customer service (An analytical study of Palestinian local banks)

The study aimed to identify the effect of Total Quality Management on enhancing competitiveness through the opinions of employees of the front- rows of customer service in local Palestinian banks, the researcher adopted an analytical descriptive method through developing a special questionnaire to accomplish the study’s objectives and answer its questions. The study involved all the Palestinian local banks, with their scattered branches in West Bank. The study sample consisted of 3470 executive employees for banking services out of 4753 employees, in the rate of 73%, and the study sample reached (485) employees who were randomly selected working in the front -rows to provide services in the local Palestinian banks during the ye

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Publication Date
Sat Apr 29 2023
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The Influence of the Hyaluronic Acid Gel on the Postoperative Sequelae following Surgical Removal of the Impacted Mandibular Third Molar in Comparison with the A-PRF: A Randomized Controlled Trial

One of the most common procedures in oral surgery is the removal of impacted mandibular third molars, often followed by pain, swelling, alveolitis, and trismus. Purpose. To compare the outcomes of the intrasocket application of 1% hyaluronic acid oral gel (HA) and advanced platelet-rich fibrin (A-PRF) on the expected postoperative complications, pain, swelling, and trismus follow the surgical extraction of the impacted mandibular third molar. Material and Methods. A randomized controlled trial was conducted at the Oral and Maxillofacial Surgery Unit, Dental Teaching Hospital. Healthy patients who required surgical removal of the impacted mandibular third molar were divided randomly into three groups. The extraction site of the group

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Mon Apr 01 2019
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The Effectiveness Of A Proposed Program For Developing The Creative Abilities Of The Students At The University Of Tabuk And Its Effect On The Creative Output Of The Neom Project.

The aim of this study was to measure the effectiveness of a proposed program to develop the creative abilities of the students of Tabuk University and its impact on the creative output of the NEOM project. The sample of the study consisted of (50) university students divided into two groups: an experimental group of 25 students who receive the proposed training program, and control group of (25) students.

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Publication Date
Sun Oct 22 2023
Journal Name
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New Approach for the On-Line Spectrophotometric Determination of Vanadium (V) In Different River Water via the Use of a Homemade Ayah 6SX1-T-2D Solar-Continuous Flow Injection Analyser

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Publication Date
Sat Dec 01 2018
Journal Name
Journal Of Accounting And Financial Studies ( Jafs )
The contribution of the tax authorities to increase the tax revenues: An applied research on a sample of the supporting bodies in the health sector for the period 1998-2008

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Publication Date
Wed May 01 2024
Journal Name
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Abstract Ternary Silver Indium selenide Sulfur AgInSe1.8S0.2 in pure form and with a 0.2 ratio of Sulfur were fabricated via thermal evaporation under vacuum 3*10-6 torr on glasses substrates with a thickness of (550) nm. These films were investigated to understand their structural, optical, and Hall Characteristics. X-ray diffraction analysis was employed to examine the impact of varying Sulfur ratios on the structural properties. The results revealed that the AgInSe1.8S0.2 thin films in their pure form and with a 0.2 Sulfur ratio, both at room temperature and after annealing at 500 K, exhibited a polycrystalline nature with a tetragonal structure and a predominant orientation along the (112) plane, indicating an enhanced de

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Publication Date
Sun Jun 16 2019
Journal Name
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The Exposition of University Youth to Television Advertising and its Reflection on the Development of their Cognitive Abilities A survey of students (College of Media / University of Baghdad) as ample

This research is aimed at identifying the communicative habits and the impact of the content on the communicative process, especially the youth audience, which is one of the most important categories to which the advertisement is directed, as young people face life with passion and aspiration that make then responsive to all the influences used by the media in designing advertisements which use all the techniques and methocls to attract young people, such as relying on drama , artistic tricks, musical phrases and advertising slogans that respond to the desire of young people in entertainment.
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