product moments
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The power Ailamujia distribution has been successfully developed in statistics, both theoretically and practically, performing well in the fitting of various types of data. This paper investigates the moment properties of the associated order, reversed order and upper record statistics, which are indeed unexplored aspects of this distribution. In particular, the exact expressions for the single moments of the order and reversed order statistics are provided. Some recurrence relationships for both single and product moments for the order and upper record statistics are proved. For additional goals, certain joint distributions are also given.

In this paper, we derive the explicit expressions for single and product moments of generalized order statistics from Pareto-Rayleigh distribution using hypergeometric functions. Also, some interesting remarks are presented.

The Kummer-gamma distribution is an extension of gamma distribution and for certain values of parameters slides to a bimodal distribution. In this article, we introduce a bivariate distribution with Kummer-gamma conditionals and call it the conditionally specified bivariate Kummer-gamma distribution/bivariate Kummer-gamma conditionals distribution. Various representations are derived for its product moments, marginal densities, marginal moments, conditional densities, and conditional moments. We also discuss several important properties including, entropies, distributions of sum, and quotient. Most of these representations involve special functions such as the Gauss and the confluent hypergeometric functions. The bivariate Kummer-gamma conditionals distribution studied in this article may serve as an alternative to many existing bivariate models with support on (0, ∞) × (0, ∞).

In this paper, we present simple explicit expressions for single and product moments of generalized order statistics from generalized Pareto distribution. These relations are deduced for the moments of order statistics and record values and tabulated the mean and variance of this distribution. Further, conditional expectation, recurrence relations for single as well as for product moments of generalized order statistics and truncated moment are used to characterize this distribution.

The relations for moments of generalized order statistics (gos) for transmuted exponential distribution are obtained. These include relations for single, inverse, product and ratio moments. These relations are useful in for recursive computation of moments of gos for transmuted exponential distribution. Some characterizations of the distribution, based on single and product moments of gos, are also obtained.

The problem discussed in this study is the low disciplinary attitude of students in scouting at SMP 5 Pariaman. While the objectives to be achieved in this research are to determine if there is was a relationship between activity following extracurricular activity with students’ discipline at SMP 5 Pariaman. The type of this research is correlational, namely looking at the relationship between activities participating in scout extracurricular activity with students’  discipline at SMP 5 Pariaman. The population in this study was taken all students who participated in scout extracurricular activities at SMP 5 Pariaman,  totaling 40 people. The sample of this research was 30 people. The instrument in this study was a questionnaire using a linker scale with alternative answers: always, often, sometimes, never. Meanwhile, to measure the results of research data, descriptive formulas and product moments are used. The results showed that student activeness and student discipline in scouting were very good, and there was there is a significant relationship between activeness following scout extracurricular activities with student discipline in SMP 5 Pariaman.  Is greater than the writable is at the confidence level of 5% (0.361) and the confidence level of 1% (0.463).Keywords: scout extracurricular activities, student activity, student  discipline

Tingginya angka kecelakaan di Indonesia dikarenakan kurangnya kesadaran keselamatan sehingga pengendara sepeda motor berkendara dengan berbahaya. Penelitian ini menguji secara empirik apakah terdapat hubungan antara kesadaran keselamatan dengan agresivitas berkendara pada pengendara sepeda motor di Samarinda dengan sampel sebanyak 100 orang. Penelitian ini menggunakan skala kesadaran keselamatan dan agresivitas berkendara yang dianalisis dengan uji statistik product moments. Hasil menunjukkan bahwa terdapat hubungan antara kesadaran keselamatan dengan agresivitas berkendara dengan nilai rhitung = 0.392 > rtabel = 0.197, dan nilai p = 0.005. Dapat disimpulkan bahwa semakin tinggi kesadaran keselamatan maka semakin tinggi agresivitas berkendara, begitu pula sebaliknya. Kesadaran keselamatan memiliki hubungan terhadap agresivitas berkendara dari aspek berkendara dengan kecepatan tinggi, meluapkan kemarahan saat di jalan, dan menghalangi jalan pengendara lain untuk mendahului.

A new bivariate beta distribution based on the Humbert’s confluent hypergeometric function of the second kind is introduced. Various representations are derived for its product moments, marginal densities, marginal moments, conditional densities and entropies.

Penelitian ini bertujuan untuk menguji secara empirik ada atau tidaknya Hubungan Motivasi dengan Kepatuhan Pada Anggota Pramuka Kwartir Ranting Loa Janan. Subjek penelitian ini adalah 80 orang anggota Pramuka yang aktif yang dipilih menggunakan teknik probability sampling. Alat ukur yang digunakan dalam penelitian ini menggunakan skala motivasi dan skala kepatuhan. Teknik analisa data menggunakan uji statistik korelasi product moments. Hasil penelitian menunjukkan terdapat hubungan motivasi dengan kepatuhan yaitu dengan nilai r hitung > r tabel (0.227 > 0.220), dan nilai sig. 0.046 < 0.050. Pada hasil penelitian korelasi partial didapatkan adanya hubungan yang signifikan pada aspek variable power (X3) terhadap aspek variabel belief (Y1) dengan nilai r hitung > r tabel (0.393 > 0.220), dan nilai P = 0.000. Kemudian pada aspek variable power (X3) dan hyegiene (X5) terhadap aspek variabel accept (Y2) dengan nilai r hitung > r tabel (0.339 > 0.220), dan nilai P = 0.002 dan nilai r hitung > r tabel (-0.326 > 0.220), dan nilai P = 0.003. Lalu pada aspek variable power (X3) terhadap aspek variabel act (Y3) dengan nilai r hitung > r tabel (0.327 > 0.220), dan nilai P = 0.003.

The Poisson Lomax distribution was proposed by [3], as a useful model for analyzing lifetime data. In this paper,we have derived recurrence relations for single and product moments of generalized order statistics for this distribution. Further, characterization of the distribution is carried out. Some deductions and particular cases are also discussed.