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123
MAHALLIY BYUDJET DAROMADLARIGA INVESTITSUYALARNING
TA’SIRINI BAHOLASH.
L.A. Djurayeva
Termiz davlat universiteti
Nabixonova Durdona Xamid qizi
Termiz davlat universiteti talabasi
Annotatsiya.
Ushbu maqolada Surxondaryo viloyatida mahalliy byudjeti
daromadlariga asosiy kapitalga o‘zlashtirilgan investitsiyalarning ta’siri ekonometrik
tadqiq etilgan. Natijada avtoregressiya modeli tuzish orqali qisqa va uzoq muddatli
multiplikatorlar qiymatlari aniqlanib, xulosalar qilingan.
Kalit so‘zlar:
model, avtoregressiya, regressiya tenglamasi, styudent, t mezoni,
Fisher, instrumental o`zgaruvchi.
Mahalliy byudjet daromadlar bazasini shakllantirishda unga ta’sir etuvchi
omillarning ta’sir darajasini baholash alohida ahamiyatga ega. Bunda ekonometrik
modellardan foydalanish nafaqat istiqboldagi byudjet tushumlari, balki omillarning
ta’sir darajalarini aniqlash imkonini beradi.
Tadqiqot uchun 2010-2023 yillardagi Surxondaryo viloyati byudjet daromadlari
1
hamda asosiy kapitalga o‘zlashtirilgan investitsuyalar
2
hajmi to‘g‘risida ma’lumotlar 1-
jadalda keltirilgan.
1-jadval
Surxondaryo viloyati kichik biznes va xususiy tadbirkorlik ishlab chiqarish
hajmi va asosiy kapitalga o‘zlashtirilgan investitsiyalar hajmi qiymatlari
3
Yillar
Surxondaryo viloyati byudjet
daromadlari, mlrd so’m
Asosiy kapitalga
o‘zlashtirilgan investitsiyalar,
mlrd so’m
n
y
x
1
To’rayev, B. E. (2024). Mahalliy byudjet daromadlarini ARIMA modeli asosida prognozlash. Journal of Universal
Science Research, 2(1), 141-149.
2
– Surxondaryo viloyat Statistika boshqarmasi rasmiy sayti ma’lumotlari.
3
– Surxondaryo viloyat Statistika boshqarmasi rasmiy sayti ma’lumotlari.
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124
2010
264
655,3
2011
351,6
802,9
2012
413,9
980,3
2013
514,9
1371,0
2014
571,7
1509,1
2015
699,1
1843,6
2016
835,5
2142,4
2017
969,8
3551,0
2018
1052,1
7240,6
2019
1844,7
11835,1
2020
1605,7
10068,2
2021
1993,2
12037,8
2022
2466,9
11569,4
2023*
2 962,8
17956,0
Investitsiyalarning mahalliy byudjet daromadlari hajmiga ta’sirini baholashda
avtoregressiya modellari istiqboldagi qisqa va uzoq muddatli o’zgarishlar darajalarini
aniqlash imkonini beradi.
𝐴𝑅(1) + 𝑥
ko’rinishidagi avtoregressiya modeli umumiy
ko’rinishi quyidagicha:
𝑦
𝑡
= 𝑎 + 𝑏
0
∙ 𝑥
𝑡
+ 𝑐
1
∙ 𝑦
𝑡−1
+ 𝑒
𝑡
(1)
Ushbu modelni hisoblash uchun dastlab instrumental o‘zgaruvchini baholovchi
model tuzish talab etiladi:
𝑦̂
𝑡−1
= 𝑑
0
+ 𝑑
1
⋅ 𝑥
𝑡−1
(2)
(2) modelni baholash uchun lag o’zgaruvchilar qiymatlari 2-jadvalda berilgan.
2-jadval
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125
Surxondaryo viloyati mahalliy byudjet daromadlari
hajmi va asosiy kapitalga
o‘zlashtirilgan investitsiyalar hajmi ko’rsatkichlarning
𝒕 − 𝟏
davrdagi
qiymatlari
4
Yillar
𝒚
𝒕
𝒙
𝒕
𝒚
𝒕−𝟏
𝒙
𝒕−𝟏
2010
264
655,3
-
-
2011
351,6
802,9
264
655,3
2012
413,9
980,3
351,6
802,9
2013
514,9
1371,0
413,9
980,3
2014
571,7
1509,1
514,9
1370,992
2015
699,1
1843,6
571,7
1509,144
2016
835,5
2142,4
699,1
1843,612
2017
969,8
3551,0
835,5
2142,412
2018
1052,1
7240,6
969,8
3551
2019
1844,7
11835,1
1052,1
7240,6
2020
1605,7
10068,2
1844,7
11835,07
2021
1993,2
12037,8
1605,7
10068,2
2022
2466,9
11569,4
1993,2
12037,76
2023
2 962,8
17956,0
2466,9
11569,4
Microsoft Excel dasturining «
Анализ данных
» paketidan foydalanib 2-
jadvaldagi ma’lumotlarning regression bog‘lanishini ko‘rib chiqamiz (3-jadval).
3-jadval
Regression tahlil natijalari
5
ВЫВОД
ИТОГОВ
4
Surxondaryo viloyati Statistika boshqarmasi
5
Muallif ishlanmasi
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126
Регрессионная статистика
Множественн
ый R
0,958
R-квадрат
0,917
Нормированн
ый R-квадрат
0,910
Стандартная
ошибка
212,871
Наблюдения
13
Дисперсионны
й анализ
df
SS
MS
F
Значимос
ть F
Регрессия
1
5539643,5
83
5539643,5
83
122,249
2,68616E-
07
Остаток
11
498456,74
93
45314,249
94
Итого
12
6038100,3
32
Коэффи-
циенты
Стандарт
-ная
ошибка
t-ста-
тистика
P-
Значение
Нижние
95%
Y-пересечение
319,716
88,244
3,623
0,004
125,492
Переменная X
1
0,144
0,013
11,057
0,000
0,115
𝑦̂
𝑡−1
instrumental o‘zgaruvchini aniqlovchi regressiya tenglamasining umumiy
ko‘rinishi
𝑦̂
𝑡−1
= 319,716 + 0,144 ⋅ 𝑥
𝑡−1
(3)
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127
Ushbu (3) model bo’yicha Fisherning F mezonining hisoblangan qiymati
𝐹
ℎ𝑖𝑠
=
1013,663
ga teng, bu esa
𝑑𝑓
1
= 𝑚 = 1
va
𝑑𝑓
2
= 𝑛 − 1 − 1 = 12
erkinlik darajasida
hamda,
𝛼 = 0,05
ahamiyatlilik darajasida Fisherning jadval qiymati
𝐹
𝑗𝑎𝑑
= 4.75
dan
katta. Shuningdek (3) modelning parametrlari bo‘yicha Styudentning t mezoni
qiymatlari
𝑡
𝑑
0
= 2,882
hamda
𝑡
𝑑
1
= 10,083
ga teng, bu esa
𝛼 = 0,05
ahamiyatlilik
darajasida hamda
𝑑𝑓 = 𝑛 − 𝑚 = 13
erkinlik darajasida Styudentning
𝑡
𝑗𝑎𝑑
= 2,16
dan
katta. Shu sababli model statistik ahamiyatga ega hisoblanadi.
𝑦̂
𝑡−1
instrumental o‘zgaruvchining nazariy qiymatlarini aniqlaymiz. (4-jadval).
4-jadval
Instrumental o’zgaruvchining nazariy qiymatlari
6
Yillar
𝒚
𝒕
𝒙
𝒕
𝒚
𝒕−𝟏
𝒙
𝒕−𝟏
𝒚
̂
𝒕−𝟏
2010
264
655,3
-
-
-
2011
351,6
802,9
264
655,3
413,9
2012
413,9
980,3
351,6
802,9
435,1
2013
514,9
1371,0
413,9
980,3
460,6
2014
571,7
1509,1
514,9
1370,992
516,7
2015
699,1
1843,6
571,7
1509,144
536,6
2016
835,5
2142,4
699,1
1843,612
584,6
2017
969,8
3551,0
835,5
2142,412
627,6
2018
1052,1
7240,6
969,8
3551
829,9
2019
1844,7
11835,1
1052,1
7240,6
1 360,1
2020
1605,7
10068,2
1844,7
11835,07
2 020,3
2021
1993,2
12037,8
1605,7
10068,2
1 766,4
2022
2466,9
11569,4
1993,2
12037,76
2 049,4
2023
2 962,8
17956,0
2466,9
11569,4
1 982,1
6
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128
4-jadvaldagi
𝑦
𝑡
,
𝑥
𝑡
hamda
𝑦̂
𝑡−1
o‘zgaruvchilar ishtirokida (1) modelni
baholadik. Buning uchun yana Microsoft excel imkoniyatlaridan foydalandik. Biroq (1)
model parametrlari statistik ahamiyatga ega bo’lmadi. Shu sababli (1) modelni
o’zgarmas ishtirokisiz baholadik (5-jadval).
3-jadval
Regression tahlil natijalari
7
ВЫВОД
ИТОГОВ
Регрессионная
статистика
Множественн
ый R
0,990
R-квадрат
0,979
Нормированн
ый R-квадрат
0,887
Стандартная
ошибка
233,097
Наблюдения
13
Дисперсионны
й анализ
df
SS
MS
F
Значимост
ь F
Регрессия
2
28341349,3
6
14170674,6
8
260,806
2,35521E-
09
Остаток
11
597676,645
3
54334,2404
8
Итого
13
28939026
7
Muallif ishlanmasi
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129
Коэффи-
циенты
Стандарт
-ная
ошибка
t-ста-
тистика
P-
Значение
Нижние
95%
Y-пересечение
0,000
#Н/Д
#Н/Д
#Н/Д
#Н/Д
Переменная X
1
0,091
0,028
3,264
0,008
0,030
Переменная X
2
0,587
0,191
3,071
0,011
0,166
Bundan avtoregressiya tenglamamiz:
𝑦
𝑡
= 0,091𝑥
𝑡
+ 0,587𝑦
𝑡−1
(4)
ko‘rinishga ega bo‘ladi. Model barcha parametrlari hamda modelning o’zi statistic
ahamiyatga ega.
Shunday qilib, (4) modelga ko’ra qisqa muddatli multiplikator
𝑏
0
= 0,091
ga
teng, ya’ni
𝑥
𝑡
- asosiy kapitalga o‘zlashtirilgan investitsiyalar hajmining 1 mlrd so‘mga
ortishi
𝑦
𝑡
- mahalliy byudjet daromadlarini o‘rtacha 0,091 mlrd so‘mga oshiradi. Uzoq
muddatli multiplikator
𝑏 =
𝑏
𝑜
1−𝑐
=
0,091
1−0,587
= 0,22072
ga teng, ya’ni
𝑥
𝑡
ning 1 mlrd
so‘mga oshishi esa,
𝑦
𝑡
ni uzoq muddatda 0,22072 mlrd so‘mga oshiradi.
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