Two Random Variables

Part 1 of ebook "Introduction to statistics and data analysis: With exercises, solutions and applications in R" provides readers with contents including: Chapter 1 - Introduction and framework; Chapter 2 - Frequency measures and graphical representation of data; Chapter 3 - Measures of central tendency and dispersion; Chapter 4 - Association of two variables; Chapter 5 - Combinatorics; Chapter 6 - Elements of probability theory; Chapter 7 - Random variables; Chapter 8 - Probability distributions;...

185p daonhiennhien 03-07-2024 3 1   Download

Part 2 of ebook "Error analysis with applications in engineering" provides readers with contents including: Chapter 5 - Two-dimensional distributions; Chapter 6 - Two-dimensional functions of independent random variables; Chapter 7 - Three-dimensional distributions; Chapter 8 - Three-dimensional functions of independent random variables; Chapter 9 - Problems described by implicit equations;...

159p giangdongdinh 28-05-2024 3 2   Download

Part 1 of ebook "Probability theory" provides readers with contents including: discrete spaces of elementary events; an arbitrary space of elementary events; random variables and distribution functions; numerical characteristics of random variables; sequences of independent trials with two outcomes; on convergence of random variables and distributions;...

333p hanlinhchi 29-08-2023 4 2   Download

(BQ) Ebook Probability and statistics for engineers and scientists (Ninth edition): Part 1 presents the following content: Introduction to statistics and data analysis, probability, random variables and probability distributions, mathematical expectation, some discrete probability distributions, some continuous probability distributions, functions of random variables (optional), fundamental sampling distributions and data descriptions, one- and two-sample estimation problems, one- and two-sample tests of hypotheses.

409p runordie6 10-08-2022 15 2   Download

In this chapter, we will focus on two random variables, but once you understand the theory for two random variables, the extension to n random variables is straightforward. We will first discuss joint distributions of discrete random variables and then extend the results to continuous random variables.

15p cucngoainhan0 10-05-2022 13 1   Download

Lecture Probability Theory - Lecture 8: One Function of Two Random Variables. Classic problem of finding the probability density function of the sum of two random variables in terms of their joint density function. Find the density function of the sum random variable Z in terms of the joint density function of its two components X and Y that may be independent or dependent of each other.

33p cucngoainhan0 10-05-2022 10 1   Download

Lecture Probability Theory - Lecture 9: Two Functions of Two Random Variables. How to find the joint probability density function of two functions of two random variables X and Y, from the joint probability density function of X and Y is discussed here. In particular, when X and Y are independent and jointly Gaussian random variables, their magnitude and phase functions are shown to be independent, whereas the independence of the magnitude and phase functions is no longer true when X and Y are correlated Gaussian random variables. As usual, all relevant density functions are derived here.

26p cucngoainhan0 10-05-2022 9 1   Download

Lecture Probability Theory - Lecture 10: Joint Moments and Joint Characteristic Functions. Following the one random variable case, we can define the joint characteristic function between two random variables which will turn out to be useful for moment calculations.

24p cucngoainhan0 10-05-2022 9 1   Download

Twenty local maize germplasm collected from various parts of Nagaland along with a check variety was laid in randomized block design with two replications in the research farm of School of agricultural research and rural development, Nagaland University, Medziphema during kharif 2019 to determine the variability present amongst the genotypes. The results showed significant differences for all characters studied except for number of ears per plant.

4p caygaocaolon11 21-04-2021 7 1   Download

Two hundred progenies of four crosses of rice were evaluated to study the genetic variability in segregating generations for yield and bran oil content. The data was recorded on five randomly selected plants for ten quantitative and four grain quality characters. The analysis of variance showed significant differences for 14 characters studied, indicating the presence of high genetic variability among the progenies.

8p cothumenhmong9 18-01-2021 18 1   Download

The Multi-stripe Travelling Salesman Problem (Ms-TSP) is an extension of the Travelling Salesman Problem (TSP). In the q-stripe TSP with q ≥ 1, the objective function sums the costs for traveling from one vertex to each of the next q vertices along the tour. To solve medium to large-sized instances, a metaheuristic approach is proposed. The proposed method has two main components, which are construction and improvement phases. The construction phase generates an initial solution using the Greedy Randomized Adaptive Search Procedure (GRASP).

18p nguathienthan9 08-12-2020 13 2   Download

The present investigation was carried out at Regional Agricultural Research Station, Vijayapur, Karnataka with 75 restorer (R) lines of pearl millet in a randomized block design with two replications to estimate the genetic variability, heritability and genetic advance for nine quantitative traits.

6p angicungduoc8 07-11-2020 7 2   Download

In this paper, an improved version of Differential Evolution algorithm, called iDE, is introduced to solve design optimization problems of composite laminated beams. The beams used in this research are Timoshenko beam models computed based on analytical formula. The iDE is formed by modifying the mutation and the selection step of the original algorithm. Particularly, individuals involved in mutation were chosen by Roulette wheel selection via acceptant stochastic instead of the random selection.

11p cothumenhmong8 04-11-2020 19 1   Download

The present study was conducted to assess variability paramters for ten quantitative characters including seed yield per plant in mung bean utilizing thirty progenies of F4 population derived from two crosses viz., Meha x GJM-1006 (17 progenies) and Meha x GJM-1008 (13 progenies). Randomized Block Design with three replications was used and each genotype was planted on a spacing of 60 cm x 15 cm.

9p nguathienthan8 20-10-2020 15 1   Download

Forty two genotypes of tomato including four check cultivar (GT-2, GT-6, JT-3 and Pusa Ruby) were planted in Randomized Block Design, during rabi 2018 and were assessed to know the nature and magnitude of variability and genetic divergence for twelve traits. The experimental results revealed a wide range of variability for all the traits under study.

12p caygaocaolon6 30-07-2020 17 1   Download

Twenty five genotypes of carrot were evaluated for different traits in a randomized complete block design with two replications. The variation was observed for all the parameters studied. Root weight, root/top length ratio, total yield/plot, total yield/ha, cortex thickness, TSS, β-carotene content, ascorbic acid content, total phenol, protein, root forking and root splitting showed high genotypic coefficient of variation and phenotypic coefficient of variation.

8p nguaconbaynhay6 23-06-2020 16 0   Download

Geo-statistics is an important tools extensively used for analyzing the spatial variability, interpolating between point observations and ascertaining the interpolated values with specified error using a minimum number of observations. GPS based two hundred seventy two surface soil samples were collected randomly from agricultural area of Alirajpur district of Madhya Pradesh under AICRP on MSN project. Results recorded that the73.90, 26.10, 77.57, 64.71, 93.01 and 25.37 per cent soil samples were found to be deficient in N, P, K, S, Zn, and Fe respectively.

26p quenchua6 15-06-2020 9 2   Download

The study was conducted in rural and urban area of Hisar district. Four Government Senior Secondary Schools, two from rural area and two from Hisar city were selected at random. Total sample constituted of 240 adolescents in the age group of 16-18 years, 120 from rural area and 120 from urban area, representing both the sexes in equal number. Selfprepared interview schedule was used to collect information on personal and socioeconomic variables. Family environment was assessed by Family Environment Scale (FES) by Bhatia and Chadha (1993).

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The present study was carried out during Late kharif, 2016 at College of Horticulture, Anantharajupeta. The experiment was conducted with an objective to identify divergent genotypes to be used as donor parents in crop improvement. Thirty-two genotypes along with two checks were evaluated in a randomized block design with three replications and the data on 25 yield and yield attributing traits were recorded. The analysis of variance revealed significant differences among all genotypes indicating the presence of sufficient amount of variability for the characters studied.

11p quenchua6 15-06-2020 11 2   Download

Collar rot of chilli caused by Sclerotium rolfsii Sacc. is currently occurring in chilli growing areas of Marathwada region in India. The genetic diversity among eight chilli S. rolfsii isolates collected from eight districts covering various geographic areas of Marathwada region of Maharashtra state were analysed using random amplified polymorphic DNA (RAPD) using five random primers. Size of DNA fragments amplified by the five primers ranged from 0.1 Kb to 10 Kb indicating polymorphism among S. rolfsii isolates. RAPD banding profiles with five different random primers viz.

9p quenchua6 15-06-2020 12 1   Download