IRAOI JOURNAL OF STATISTICAL SCIENCES

In this paper, we have generalized the implicit update of
the Quasi-Newton’s condition. We have here investigated a four;
five and n-step update algorithm. We have applied the cases at
four and five- step numerically and we have compared these
cases with other QN-algorithms. The numerical results of the
proposed algorithm show that the new algorithm was better than
others.

A condense study was done on non-stationary Gaussian
AR(1), concerning testing the stationarity, the unit root and
deterministic trend model . A proposed test was given and a
comparison was done using where some new results are obtained

This research deals with the non-homogenous Poisson
process described as Weibull process. In order to estimate the
rate of occurrence, maximum likelihood and least square
methods have been used, in addition to the graphical method
which investigates the suitability of the power low function of
the data for the research and estimating the rate of occurrence.
The practical application includes studying intervals
between rainfall in two main weather forecasting stations of
Nineva. Thus, the rate of rainfalls has been estimated by using
the suggested statistical method in the research.

Genetic algorithm was enumerated as one of the recent
artificial intelligence manner, the importance of this manner was
solving large and complicated volume thinks which have large
quantity of replacement substitute during special time, and the
solution which results from genetic algorithm is mainly
considered as perfect solution.
The manner of genetic algorithm depends on solving the
questions on taken from hereditary science, which mainly takes
care at producing new individuals which have special properties
(desirable or undesirable) through the interlock, modifications
which happen on genetic groups to form new individuals.
In this research the development of genetic algorithm
happens according to meiosis and mitosis division, of some
biologic were identified, meiosis and mitosis division which
happen in living being, three ways were suggested and
performance rate for each case of execution was calculated. In
the first suggested method we take good results of final values,
in the second suggested method the results of final values were
accepted, and in the third suggested method the results was not
good.
A program was designed to include the application of
three suggested methods and the execution on work by matlab
language (Version 6.5) and depending of satellite images to
complete the work.

This research deals with a mathematical approach of principle
components analysis to estimate the delay time in linear stochastic
dynamical systems. The delay time has a statistical importance to
describe the suitable identification. So classical methods are used
and the results are compared with the proposed approach from the
simulation experiments where the Principle Component approach
gives a high degree of success to estimate the delay time especially
with crosscorrelation and impulse response function

The objective of this paper to study the Quality of
characteristics of the falling rains in Mosul and comparison with
standard characteristics of (PH) in winter and spring. By using
the Quality control chart and constitutions the model of multiple
linear regression by using principle components analysis

This paper is concerned with the estimation of the parameters
of the mixture normal distribution with truncated components using
Bayesian approach. One of numerical methods is used to obtain the
joint posterior distribution of the variances of the two components,
Predictive distribution of the future observation, is also obtained
which is a mixture of two components. Each component is weighted
by the belongance ratio of future observation to each component of
mixture truncated normal distribution.

There exists many applications for Fractal Geometry as in
digital image procession, sound processing, analysis and
derivation intent languages to find its root. Other applications are
in biology, chemistry, art and medicine
This research is based on studying Fractal Geometry
science focusing on the main methods used to generate and
display some complex models which cannot be accomplished via traditional mathematics. Three methods are considered from the
scientist Sieperniski, one method belongs to the scientist Pascal,
and finally one for Von Koch.
Each method is implemented in software with facility to
choose the complexity level at execution. A graphical user
interface (GUI) is designed and used (Visual basic) language to
program the methods

In this research, we use the ( MSE ) and ( MSFE ) two
criterions to compare between the estimators of Adaptive
Regression model and the estimators of Ordinary and General
Least Squares. We found that, Adaptive Regression estimators
are more accurate and efficient as compared to these estimators
because they have minimum mean square error.

The present study is used to determine the attitudes of the
university students towards the computer subject using the fuzzy
logic and data base, We depend on two fields, the first one (list)
contains number of paragraphs divided into Economical field and
Psychological field that are used to determine the attitudes of the
students towards the computer subject. The second field, named Examination, consists of a group of paragraphs considered as
questions used also to determine the attitudes of the students
towards the computer subject , We built Data Base for this
system and we used the Fuzzy Logic and constitute number of
membership functions for both the Psychological and
Economical fields

In the normal cases satellite images are not identical to the
topographical map and the reason behind that is , with it's
spherical nature that will make a removal to the satellite image
captured by the satellite .This may bring some differences in the
projection between the image and the map , so these projections
and coordinations must be corrected .
There are two types of correction measures , first between
(map- to- image), second between an (image –to- image). The
research depends on studying the second correction relying on
the 2D – Discreat wavelet transform technology, this technology
proved a high performance and quality in most digital application
fields and in the applications of different remote sensing in that it
has a high quality in the multi-detailed analysis which is used to
treat images .
The study applied the wavelet transform technology on a
satellite image for Singar mountain region located west of Mosul
city that captured by (TM) exactly in the fifth band, to treat the
satellite image correction according to the topographical map
coordinates for the same region. After making statistical process
on the chosen ground control points (GCPs) in each (the image
and the map) and accounting the estimated value of (MSE) for
points according to the threshold value.
These results of the research gained by designing a program
which reads and processes the stated image by using matlab 7.0
and using digital image processing measures ( image processing
tool box ) which is contained with the system .

This paper is concerned with the methods of the
sample size calculations, especially through proposed estimator
which depends in its formation on finite population variance in
stratified random sample. Its properties are studied and compared
with proposed estimator by the Arcos, C.A & Rueda, G.M. The
conclusion is that the proposed estimator has better properties
than the previous estimator.

The aim of this research is to produce a proposed method for
digital image authentication . To provide digital image
authentication we depending on the ideas of one way hash
function , message digest , and digital signature . An efficient
method for digital image watermarking was suggested . This
work combines between user authentication and digital image
authentication , so that it allows the receiver of a digital image
to be confident of both that the digital image is authentic and it
is delivered from authorized source . The goal of this research is to detect any intrusion modification on the digital image
while sending through computer networks