The Arithmetic of Navigation Position Errors

1982 ◽  
Vol 35 (1) ◽  
pp. 28-38
Author(s):  
J. B. Parker
Keyword(s):  
Theoretical Model ◽  
Probability Density ◽  
Goodness Of Fit ◽  
Theoretical Models ◽  
Double Exponential Distribution ◽  
Position Errors ◽  
Double Exponential ◽  
The Family ◽  
Exponential Power ◽  
Image Position

In a notable series of articles, Hsu advances theoretical models which are used to graduate 7582 observations of aircraft lateral deviations. The goodness of fit of these models, as judged by the χ2 test, is satisfactory. Hsu's main theoretical model is the Double Double Exponential distribution (DDE), a three parameter model whose probability density function is given byOther model types are also considered, such as the family of exponential power distributions whose probability density is cited by Hsu insection 9. This leads to a four-parameter model, and the fit is (not surprisingly) better even than that of the DDE.

scholarly journals A NOTE ON PROPERTIES OF EXPONENTIAL POWER DISTRIBUTION

2020 ◽  
pp. 145-150
Author(s):  
Akinlolu Olosunde
Keyword(s):  
Exponential Distribution ◽  
Power Distribution ◽  
Real Life ◽  
Distribution Functions ◽  
Exponential Power Distribution ◽  
Double Exponential Distribution ◽  
Life Data ◽  
Real Life Data ◽  
Double Exponential ◽  
Exponential Power

The most common generalization of the normal, Kotz-symmetric and double exponential distribution functions was the exponential power distribution. This distribution had been found useful in modeling real life data as studied in the literature. The present study found it necessary to fill the void in the literature by presenting some properties which characterized exponential power distribution and further made it useful in applications.

The Turkish Adaptation of the Triangular Relationship Inventory: The Validity and Reliability Study

2021 ◽  
pp. 106648072110230
Author(s):  
Çiğdem Yavuz Güler
Keyword(s):  
Psychometric Properties ◽  
Convergent Validity ◽  
Goodness Of Fit ◽  
Satisfaction With Life ◽  
Family System ◽  
Measurement Tool ◽  
Tension Stress ◽  
Validity And Reliability ◽  
The Family ◽  
Triangular Relationship

Objective: According to the family systems theory, triangulation is defined as reflecting and conveying the tension between two individuals to a third individual to reduce the existing tension, stress, and anxiety. This study was conducted to adapt the “Triangular Relationship Inventory” to Turkish and to assess psychometric properties. Method: The sample of the study included 337 individuals (234 women and 103 men) aged between 18 and 25 years. The structure validity of the inventory was evaluated with the confirmatory factor analysis and reliability was evaluated with Chronbach's alpha internal consistency coefficient, test–retest method, and item analyses. Results: The result showed that the Turkish form of the Triangular Relationship Inventory showed similar psychometric properties to the original inventory. The structure which consists of the balanced, mediator, cross-generational coalition, and scapegoat subdimensions of 24 items displayed acceptable goodness-of-fit values in the Turkish sample with the 0.91 Cronbach's alpha coefficient while the reliability values of the subdimensions changed between 0.86 and 0.91. Considering the convergent validity of the inventory, there was a negative correlation between the triangular relationship and satisfaction with life and the differentiation of self, and a significant positive correlation with depression, anxiety, and stress. Conclusion: The psychometric properties revealed in this study show that the Turkish form of the Triangular Relationship Inventory is a valid and reliable measurement tool that can be used to measure the triangulation levels and roles of the individuals, who are in the Turkish sample and between the ages of 18 and 25 years, within the family system.

Probability distributions and orthogonal parameters

1950 ◽  
Vol 46 (2) ◽  
pp. 281-284 ◽  
Author(s):  
V. S. Huzurbazar
Keyword(s):  
Probability Density Function ◽  
Probability Density ◽  
Density Function ◽  
Probability Distributions ◽  
Orthogonal Parameters ◽  
Image Position

Let f(x, αi) be the probability density function of a distribution depending on n parameters αi(i = 1,2, …, n). Then following Jeffreys(1) we shall say that the parameters αi are orthogonal if

scholarly journals Singular perturbations of the unicritical polynomials with two parameters

2016 ◽  
Vol 37 (6) ◽  
pp. 1997-2016 ◽  
Author(s):  
YINGQING XIAO ◽  
FEI YANG
Keyword(s):  
Julia Set ◽  
Dynamical Behavior ◽  
Rational Maps ◽  
Topological Properties ◽  
Fatou Set ◽  
The Family ◽  
Image Position ◽  
Two Parameters ◽  
Unicritical Polynomials

In this paper, we study the dynamics of the family of rational maps with two parameters $$\begin{eqnarray}f_{a,b}(z)=z^{n}+\frac{a^{2}}{z^{n}-b}+\frac{a^{2}}{b},\end{eqnarray}$$ where $n\geq 2$ and $a,b\in \mathbb{C}^{\ast }$. We give a characterization of the topological properties of the Julia set and the Fatou set of $f_{a,b}$ according to the dynamical behavior of the orbits of the free critical points.

Investigation on penetration model of shaped charge jet in water

2016 ◽  
Vol 30 (02) ◽  
pp. 1550268 ◽  
Author(s):  
Jinwei Shi ◽  
Xingbai Luo ◽  
Jinming Li ◽  
Jianwei Jiang
Keyword(s):  
Numerical Simulation ◽  
Theoretical Model ◽  
Model Simulation ◽  
Theoretical Models ◽  
Theoretical Research ◽  
Water Medium ◽  
Simulation Results ◽  
Jet Penetration ◽  
The Impact ◽  
Penetration Velocity

To analyze the process of jet penetration in water medium quantitatively, the properties of jet penetration spaced target with water interlayer were studied through test and numerical simulation. Two theoretical models of jet penetration in water were proposed. The theoretical model 1 was established considering the impact of the shock wave, combined with the shock equation Rankine–Hugoniot and the virtual origin calculation method. The theoretical model 2 was obtained by fitting theoretical analysis and numerical simulation results. The effectiveness and universality of the two theoretical models were compared through the numerical simulation results. Both the models can reflect the relationship between the penetration velocity and the penetration distance in water well, and both the deviation and stability of theoretical model 1 are better than 2, the lower penetration velocity, and the larger deviation of the theoretical model 2. Therefore, the theoretical model 1 can reflect the properties of jet penetration in water effectively, and provide the reference of model simulation and theoretical research.

scholarly journals A Cumulative Rainfall Function for Subhourly Design Storm in Mediterranean Urban Areas

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Marco Carbone ◽  
Michele Turco ◽  
Giuseppe Brunetti ◽  
Patrizia Piro
Keyword(s):  
Urban Areas ◽  
Goodness Of Fit ◽  
Nonlinear Least Squares ◽  
Least Square ◽  
Rainfall Time Series ◽  
Storm Events ◽  
Design Storm ◽  
Double Exponential ◽  
Two Parameters ◽  
Precipitation Records

Design storms are very useful in many hydrological and hydraulic practices and are obtained from statistical analysis of precipitation records. However considering design storms, which are often quite unlike the natural rainstorms, may result in designing oversized or undersized drainage facilities. For these reasons, in this study, a two-parameter double exponential function is proposed to parameterize historical storm events. The proposed function has been assessed against the storms selected from 5-year rainfall time series with a 1-minute resolution, measured by three meteorological stations located in Calabria, Italy. In particular, a nonlinear least square optimization has been used to identify parameters. In previous studies, several evaluation methods to measure the goodness of fit have been used with excellent performances. One parameter is related to the centroid of the rain distribution; the second one is related to high values of the standard deviation of the kurtosis for the selected events. Finally, considering the similarity between the proposed function and the Gumbel function, the two parameters have been computed with the method of moments; in this case, the correlation values were lower than those computed with nonlinear least squares optimization but sufficiently accurate for designing purposes.

scholarly journals The family's experience of the child and/or teenager in palliative care: fluctuating between hope and hopelessness in a world changed by losses

2015 ◽  
Vol 23 (3) ◽  
pp. 560-567 ◽  
Author(s):  
Maira Deguer Misko ◽  
Maiara Rodrigues dos Santos ◽  
Carolliny Rossi de Faria Ichikawa ◽  
Regina Aparecida Garcia de Lima ◽  
Regina Szylit Bousso
Keyword(s):  
Palliative Care ◽  
Comparative Analysis ◽  
Theoretical Model ◽  
Symbolic Interactionism ◽  
Medical Condition ◽  
Spiritual Beliefs ◽  
Substantive Theory ◽  
The Family ◽  
Determining Factors ◽  
Child's Death

OBJECTIVES: to understand the family's experience of the child and/or teenager in palliative care and building a representative theoretical model of the process experienced by the family.METHODOLOGY: for this purpose the Symbolic Interactionism and the Theory Based on Data were used. Fifteen families with kids and/or teenagers in palliative care were interviewed, and data were collected through semi-structured interviews.RESULTS: after the comparative analysis of the data, a substantive theory was formed "fluctuating between hope and hopelessness in a world changed by losses", composed by: "having a life shattered ", "managing the new condition", "recognizing the palliative care" and "relearning how to live". Hope, perseverance and spiritual beliefs are determining factors for the family to continue fighting for the life of their child in a context of uncertainty, anguish and suffering, due to the medical condition of the child. Along the way, the family redefines values and integrates palliative care in their lives.CONCLUSION: staying with the child at home is what was set and kept hope of dreaming about the recovery and support of the child's life, but above all, what takes it away even though temporarily is the possibility of their child's death when staying within the context of the family.

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