End-user customers
Wholesale goodsand services
Retail goods and
services Retail goods and
services
Wholesale goods and services
Retail goods and services
Wholesale goods and services
Retail goods and services
Network operator A
Virtual operator a
Network operator
Note: Network operator
A has a wholesale agreement with virtual operator a
The dotted lines indicate the direction of revenue
The full lines indicate the direction of services and goods
Variables
Levels
First
Difference
Log of Network Operator’s Total Revenue177.631***
(0.0005)
233.119***
(0.0000)
Network Operator’s Market Share216.854***
(0.0000)
327.407***
(0.0000)
Number of Hosted Virtual Operators78.8455
(0.2714)
104.674***
(0.0072)
Number of Non-hosted Virtual Operators73.5557
(0.9954)
167.580***
(0.0001)
Log of GDP per capita
58.8446
(1.0000)
158.990***
(0.0099)
Log of Population Density
107.650*
(0.0990)
281.720***
(0.0000)
Mobile Penetration Rate
202.230***
(0.0000)
408.491***
(0.0000)
Log of Network Operator’s Size244.122***
(0.0000)
318.313***
(0.0000)
Network Operator’s Average Revenue per Use294.646***
(0.0000)
374.348***
(0.0000)
Number of Main Network Operators199.498***
(0.0000)
274.812***
(0.0000)
Table 2: Augmented Dickey and Fuller unit root test (ADF test)
Note: The null hypothesis is that there is a unit root (or non-stationary series)
Dependent Variables
Description
Source
Log of Network
Operator’s Total
Revenue
Logarithm of total revenue per network operator per year, including retail revenue and
wholesale revenue
Company websites including annual report, financial statement,
presentations, etc
Network
Operator’s Market
Share
Retail market share per each network operators at the end of
each year
Merrill Lynch publication, company websites Independent Variables
Increased Number
of Hosted Virtual
Operators
Number of hosted virtual operators established during a
specific year
Takashi mobile MVNO/SP list, Telecom paper mobile MVNO/SP list,
company websites and own calculations
Increased Number
of Non-hosted
Virtual Operators
Overall number of non-hosted virtual operators established
during a specific year
Same as above
Control Variables
GDP Growth
First difference of logarithm ofGDP per capita telecommunication union) world World Bank, ITU (international telecommunication indicators
database
Log of Population
Density
Logarithm of population density Same as above
Mobile Penetration
Rate
Number of mobile user per 100 inhabitants for a country in each
year
OECD website, ITU
Number of main
Network Operators
Number of network operators with market share more than one percent in a country in each
year
Merrill Lynch publication
Log of Network
Operator’s Size
Logarithm of average number of employees in the network
operator in each year
Company websites including annual report, financial statement,
presentations, etc
Network
Operator’s Average
Revenue per User
Average revenue per user per
network operator in each year Same as above
Table 3: Variable descriptions and sources
Log of Network Operator’s Total Revenue Network Operator’s Market Share Increased Number of Hosted Virtual Operators Increased Number of Non-hosted Virtual Operators growth GDP Log of Population Density Mobile Penetration Rate Log of Network Operator’s Size Number of Main Network Operators Network Operator’s Average Revenue per User Mean 7.396823 30.93607 0.000000 0.002053 -0.000191 4.436366 70.71730 7.936046 3.668033 42.07458 Median 7.323171 31.00000 0.000000 0.000000 0.043863 4.722943 74.66000 7.821442 3.000000 40.95211 Maximum 10.73976 70.00000 19.00000 26.00000 2.283141 8.862767 116.3900 10.12435 6.000000 101.0000 Minimum 0.000000 0.000000 -43.00000 -39.00000 -2.277892 0.693147 0.930000 0.000000 2.000000 7.500000 Std. Dev. 1.372212 16.07173 15.39252 14.93623 1.329563 1.827576 23.92650 0.930422 1.021555 16.51575 Skewness -0.375923 0.201661 -5.797742 -3.673147 -1.274278 0.003772 -0.488811 -1.006163 0.709526 2.112355 Kurtosis 4.552431 2.313255 64.05154 23.20551 50.13546 3.088667 2.783044 12.65153 2.767294 19.67791 Jarque-Bera 60.49809 12.89719 78361.25 9379.431 45214.84 0.161013 20.39053 1976.428 42.04645 6018.687 Probability 0.000000 0.001583 0.000000 0.000000 0.000000 0.922649 0.000037 0.000000 0.000000 0.000000 Sum 3609.650 15096.80 1.000000 1.000000 -0.09033 2164.946 34510.04 3872.790 1790.000 20532.39 Sum Sq. Dev. 917.0048 125792.3 6768.000 38541.00 24.32578 1626.597 278796.6 421.5883 508.2213 132839.0 Observations 488 488 427 427 427 488 488 488 488 488 Cross sections 61 61 61 61 61 61 61 61 61 61
Log of Network Operator’s Total Revenue Network Operator’s Market Share Increased Number of Hosted Virtual Operators Increased Number of Non-hosted Virtual Operators GDP growth Log of Population Density Mobile Penetration Rate Log of Network Operator’s Size Network Operator’s Average Revenue per User Network Operator’s Market Share 0.053673 Increased Number of Hosted Virtual Operators 0.120090 0.027170 Increased Number of Non-hosted Virtual Operators -0.224389 -0.244378 0.437695 GDP growth 0.147297 -0.000699 0.289876 0.412383 Log of Population Density 0.004075 -0.080107 0.045558 -0.057024 0.034412 Mobile Penetration Rate 0.075922 0.049886 0.311403 0.392335 0.350343 0.259802 Log of Network Operator’s Size 0.751926 0.050134 0.001981 0.114186 0.093770 -0.194978 -0.184845 Network Operator’s Average Revenue per User 0.170053 -0.036685 -0.081631 -0.044618 -0.225878 0.110667 -0.194553 0.011281 Number of Main Network Operators -0.390788 -0.347971 -0.075890 0.131374 0.041268 0.145004 -0.030546 0.196024 -0.377149
Table 6: Colllinearity statistics
VIF TOL
Increased Number of Hosted Virtual Operators 1.171583 0.853546 Increased Number of Non-hosted Virtual Operators 1.283137 0.779340
GDP Growth 0.473342 2.112639
Log of Population Density 1.122818 0.890616 Mobile Penetration Rate 2.514926 0.602374 Log of Network Operator’s Size 0.862616 1.159264
Table 6a: Collinearity statistics for network operator’s total revenue model
Note: If VIF>10 or TOL<0.1, multicollinearity problem exist. No multicollinearity
among variables in total revenue model.
VIF TOL
Increased Number of Hosted Virtual Operators 1.117878 0.894552 Increased Number of Non-hosted Virtual Operators 1.137702 0.878965 Log of Network Operator’s Size 0.207131 4.827866 Network Operator’s Average Revenue per User 15.002028 0.066657 Number of Main Network Operators 11.064382 0.090380
Table 6b: Collinearity statistics for network operator’s market share model
Note: If VIF>10 or TOL<0.1, multicollinearity problem exist. Average Revenue per
User and Number of Main Network Operators has multicollinearity.
VIF TOL
Increased Number of Hosted Virtual Operators 1.11532954 0.896596 Increased Number of Non-hosted Virtual Operators 1.13044422 0.884608 Log of Network Operator’s Size 1.26125035 0.792864 Network Operator’s Average Revenue per User 2.48376857 0.402614
Table 6c: Collinearity statistics for network operator’s market share model after
dropping the number of main network operators.
Table 7: Model specification tests for network operator’s total revenue equation:
Sum Squared Reside Degree of Freedom F-statistic P-value Null hypothesis:y
it=α
+ββββ
’x
it+ε
it 294.1111 481y
it=α
i+ββββ
’x
it+ε
it 29.35149 360 26.8372944(F0.95(121,360)=1.267) <0.05 (The null hypothesis can be rejected)
y
it=α
t+ββββ
’x
it+ε
it 257.1989 466 4.45856684(F0.95(15,466)=1.688) <0.05 (The null hypothesis can be rejected)
y
it=α
it+ββββ
’x
it+ε
it 26.05515 343 25.5709518(F0.95(138,343)=1.256) <0.05 (The null hypothesis can be rejected)
Table 7a Result: pooled regression model (restricted model) can be rejected by
each unrestricted model.
Sum Squared Reside
Degree of
Freedom F-statistic P-value Null hypothesis:
y
it=α
t+ββββ
’x
it+ε
it257.1989 466
y
it=α
it+ββββ
’x
it+ε
it 26.05515 343 24.7387412(F0.95(123,343)=1.267 <0.05 (The null hypothesis can be rejected)
Table 7b Result: cross-time period fixed effects model can be rejected by
cross-section & time-period fixed effects model
Sum Squared Reside
Degree of
Freedom F-statistic P-value Null hypothesis:
y
it=α
i+ββββ
’x
it+ε
it29.35149 360
y
it=α
it+ββββ
’x
it+ε
it 26.05515 343 1.552606(F0.95(17,343)=1.653) >0.05 (The null hypothesis cannot be rejected)
Table 8: Model specification tests for network operator’s market share equation:
Sum Squared Reside Degree of Freedom F-statistic P-value Null hypothesis:y
it=α
+ββββ
’x
it+ε
it 99099.92 483y
it=α
i+ββββ
’x
it+ε
it 5720.323 362 48.8376372(F0.95(121,362)=1.267) <0.05 (The null hypothesis can be rejected)
y
it=α
t+ββββ
’x
it+ε
it 95685.60 468 1.1133018(F0.95(15,468)=1.688) >0.05 (The null hypothesis cannot be rejected)
y
it=α
it+ββββ
’x
it+ε
it 5610.289 345 41.6598989(F0.95(138,345)=1.256) <0.05 (The null hypothesis can be rejected)
Table 8a Result: pooled regression model can be rejected by cross-section fixed
effects and cross-section & time-period fixed effects model
Sum Squared Reside Degree of Freedom F-statistic P-value Null hypothesis:
y
it=α
i+ββββ
’x
it+ε
it 5720.323 362y
it=α
it+ββββ
’x
it+ε
it 5610.289 345 0.3561297(F0.95(17,345)=1.652) >0.05 (The null hypothesis cannot be rejected)
Dependent Variable: RESID?^2 Method: Pooled Least Squares Sample: 1999 2006
Included observations: 7 after adjustments Cross-sections included: 61
Total pool (balanced) observations: 427
Variable Coefficient Std. Error t-Statistic Prob. Constant -4.221043 3.540039 -8.132612 0.0000 Increased Number of Hosted Virtual Operators -0.745214 0.032298 -1.000911 0.4231 Increased Number of Non-hosted Virtual Operators 0.009326 0.007392 0.828343 0.6523 GDP Growth 1.232659 0.022234 9.323026 0.0000 Log of Population Density 0.192438 0.934013 0.243965 0.8322
Mobile Penetration Rate -0.725307 0.004321 -5.233951 0.0000
Log of Network
Operator’s Size -0.152333 0.118204 -3.304042 0.0293
Effects Specification Cross-section fixed (dummy variables)
R-squared 0.209780 Mean dependent var 0.265084 Adjusted R-squared 0.173804 S.D. dependent var 0.670041 S.E. of regression 0.396753 Akaike info criterion -0.067208 Sum squared resid 31.06583 Schwarz criterion 0.496732 Log likelihood 65.08570 F-statistic 10.86493 Durbin-Watson stat 0.780294 Prob(F-statistic) 0.000000
Dependent Variable: RESID?^2 Method: Pooled Least Squares Sample: 1999 2006
Included observations: 7 after adjustments Cross-sections included: 61
Total pool (balanced) observations: 427
Variable Coefficient Std. Error t-Statistic Prob. Constant 60.01153 56.60068 2.691096 0.0699 Increased Number of Hosted Virtual Operators -0.186493 0.600433 -0.08964 0.8196 Increased Number of Non-hosted Virtual Operators 0.254850 0.197450 0.899901 0.2976 Log of Network Operator’s Size -2.604729 3.032595 -1.330552 0.2780 Network Operator’s Average Revenue per
User 0.864306 0.459475 7.893224 0.0000
Effects Specification Cross-section fixed (dummy variables)
R-squared 0.299082 Mean dependent var 21.33301 Adjusted R-squared 0.257093 S.D. dependent var 45.53416 S.E. of regression 48.05066 Akaike info criterion 20.34578 Sum squared resid 78227.0 Schwarz criterion 16.73259 Log likelihood -1945.009 F-statistic 6.563083 Durbin-Watson stat 1.008623 Prob(F-statistic) 0.000000