MARC details
| 000 -LEADER |
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| fixed length control field |
02604cam a2200325 a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
EG-GiCUC |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
210307s2021 ua d f m 000 0 eng d |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
EG-GiCUC |
| Language of cataloging |
eng |
| Transcribing agency |
EG-GiCUC |
| 041 0# - LANGUAGE CODE |
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| Language code of text/sound track or separate title |
eng |
| 049 ## - LOCAL HOLDINGS (OCLC) |
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| Holding library |
Deposite |
| 097 ## - Thesis Degree |
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| Thesis Level |
Ph.D |
| 099 ## - LOCAL FREE-TEXT CALL NUMBER (OCLC) |
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| Classification number |
Cai01.03.01.Ph.D.2021.Am.S |
| 100 0# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Amani Abubakr Mohammed Ahmed |
| 245 14 - TITLE STATEMENT |
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| Title |
The SPML model under the general projected normal distribution / |
| Statement of responsibility, etc. |
Amani Abubakr Mohammed Ahmed ; Supervised Abdelnasser Saad , Moshira Ahmed Ismail , Alyaa Roshdy Zahran |
| 246 15 - VARYING FORM OF TITLE |
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| Title proper/short title |
بافتراض التوزيع المعتاد المسقط العام SPML النموذج الخطى المتعدد ذو المتغير الكروى |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
|---|
| Place of publication, distribution, etc. |
Cairo : |
| Name of publisher, distributor, etc. |
Amani Abubakr Mohammed Ahmed , |
| Date of publication, distribution, etc. |
2021 |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
135 P. : |
| Other physical details |
charts ; |
| Dimensions |
25cm |
| 502 ## - DISSERTATION NOTE |
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| Dissertation note |
Thesis (Ph.D.) - Cairo University - Faculty of Economics and Political Science - Department of Statistics |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
The general projected normal distribution (GPND) is a flexible distribution family that is used for modeling circular data. The spherically projected multivariate linear (SPML) model was introduced in the literature for circular linear regression utilizing the GPND assuming identity covariance matrix (V=1). In this study, we are concerned with formulation and estimation of the SPML regression model under the GPND assuming general structure of the covariance matrix. A special case of a location model assumingV=v I, is analyzed where the circular parameters are estimated using maximum likelihood estimation and method of moments. Then, we consider maximum likelihood estimation of the location model assuming the GPND. EMalgorithm and Newton Raphson method are formulated and EM-algorithm has better performance than Newton Raphson method. Finally, the SPML model is formulated and estimated using EMalgorithm.Based on the simulation study, the estimated circular parameters show good behavior for different scenarios. The results show that the behavior of the estimated regression parameters is affected by the structure of V . Also, estimation of V affects the bias of the estimated regression coefficients. However, the estimated regression parameters have consistent behavior |
| 530 ## - ADDITIONAL PHYSICAL FORM AVAILABLE NOTE |
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| Additional physical form available note |
Issued also as CD |
| 653 #4 - INDEX TERM--UNCONTROLLED |
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| Uncontrolled term |
Angular mean direction |
| 653 #4 - INDEX TERM--UNCONTROLLED |
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| Uncontrolled term |
Circular regression |
| 653 #4 - INDEX TERM--UNCONTROLLED |
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| Uncontrolled term |
Maximum likelihood estimation |
| 700 0# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Abdelnasser Saad , |
| Relator term |
|
| 700 0# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Alyaa Roshdy Zahran , |
| Relator term |
|
| 700 0# - ADDED ENTRY--PERSONAL NAME |
|---|
| Personal name |
Moshira Ahmed Ismail , |
| Relator term |
|
| 905 ## - LOCAL DATA ELEMENT E, LDE (RLIN) |
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| Cataloger |
Nazla |
| Reviser |
Revisor |
| 905 ## - LOCAL DATA ELEMENT E, LDE (RLIN) |
|---|
| Cataloger |
Shimaa |
| Reviser |
Cataloger |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Thesis |
